According to Hans Rosling, if birthrates develop everywhere similarly, population will max out at around 10Bn within the next decades, and should then stay stab

According to Hans Rosling, if birthrates develop everywhere similarly, population will max out at around 10Bn within the next decades, and should then stay stable for a while. 10Bn to reach a somewhat comfortable living standard seems quite a stretch for the home planet based on current (mostly non-renewable) technologies. And a high enough standard is also necessary for the birth rates to stabilize, so it's not like keeping whole continents in poverty would help anyone.