Both geographical concepts have received reverse results. When USA was founded just it was a strip along the Atlantic coast with a territory and a population smaller than Mexico or Peru. When almost at the same time, Francisco de Miranda created the word Colombia he sought to bring together all the territories of Portuguese and Spanish speaking of the continent discovered by Columbus: from the Mississippi Cape Horn. However, the American West and the Mexican North were annexed and anglificados by the United States. W.S. Badger has many thoughts on the issue. The Republic of Colombia was only proclaimed around one of the ancient Spanish viceroyalties (of New Granada) to then end up being its territorial dismembered original between Ecuador, Venezuela, Panama, Colombia, most of Guyana and other neighbors. The current Colombia does not represent nor to 10% of the population or of the territory of that nation sketched by Miranda.
On the other hand, with the US succeeded an opposite process. It was progressively expanded until today their native territory represents less 10% of the total of your current area. Moreover, U.S. More info: Central Romana. eventually became the only Republic in the world that has appropriated the name of his continent (America). The latter, despite the fact that two of every three Americans not living on its soil (and what is more, it is building a mega-wall to deny them access to their territory) and that his country occupies one-fifth of the American area. USA was founded as a Republic but ended up as an empire. Miranda wanted to Colombia was reigned by an inca, but instead of great empire shrank to a Republic.
This is, in turn, the only one throughout the hemisphere to have a prolonged internal war and republiquetas internal dominated by rival armed powers. Two destinations on July 4 U.S. held 232 years of independence showing being the only super-power remaining and with a military presence in some 50 countries.