The muon charge ratio of ultrahigh energy cosmic rays may provide information to detect the composition of the primary cosmic rays. We propose to extract the charge information of high energy muons in very inclined extensive air showers by analyzing their relative lateral positions in the shower transverse plane.The most high energy particles can be observed by human being are from cosmic rays. The study of them belongs to frontiers of human knowledge in combination of cosmology, astrophysics, and particle physics, and can provide better understanding of the universe from most small to most big, i.e., connecting quarks to the cosmos. The universe is not empty, but full of background relic particles from the big bang. It has long been anticipated that the highest energy cosmic rays would be protons from outside the galaxy, and there is an upper limit of the highest energy in the observed proton spectrum, commonly referred to as the GZK cutoff 1 , as the protons traveling from intergalactic distances should experience energy losses owing to pion productions by the photons in the cosmic background radiation. Although there have been attentions for the cosmic ray events above the GZK cutoff, it is natural to expect that these ultrahigh energy cosmic rays come from sources within the GZK zone 2 , i.e., not far from us in more than tens of Mpc. Recently there are also reports on the observation of the GZK cut-off by new experiments 3 . However, questions about the composition of such ultrahigh energy cosmic ray particles, e.g., whether they are protons, neutrons, or anti-nucleons 4 , are still open to investigations.Muons in the air showers are mainly from decays of pions and kaons produced in the interactions of the primary cosmic rays with the atmosphere. The very high energy secondary pion and kaon cosmic rays can be considered as from the current fragmentation of partons in deep inelastic scattering of the primary cosmic rays with the nucleon targets of the atmosphere in a first approximation 5 . We also consider only the favored fragmentation processes, i.e., the π + , which is composed of valence u andd quarks, is from the fragmentation of u andd quarks in the nucleon beam, *