globalize — to extend to other or all parts of the globe; make worldwide: efforts to globalize the auto industry.
mobilize — to assemble or marshal (armed forces, military reserves, or civilian persons of military age) into readiness for active service.
Four-or-more syllable rhymes
demobilize — If a country or armed force demobilizes its troops, or if its troops demobilize, its troops are released from service and allowed to go home.
