Elaborating on seminal calibrations of baselines of global models by the GTAP community, the World Bank, the OECD and IIASA, we combine a fully-fledged macro-econometric growth model (MaGE) with a Computable General Equilibrium Model (MIRAGE-e) and contribute two baselines for the world economy. Doing so, we rely on a cross-cutting approach which mixes a theoretically founded macroeconomic framework with a dynamic global and multi-sector model, maximizing consistency between them. Migrations, projected by an external model are also taken on board. We show how retroactions between baseline assumptions and macroeconomic fundamentalssuch as the current account and labor participationimpact the model outcomes and must therefore be implemented in the macroeconomic projections. Finally, we calibrate the baseline to take stock of the long term trade to income elasticity based on a partial backcasting.