What was the result in doubling the size of the united states

The Louisiana Purchase (French: Vente de la Louisiane "Sale of Louisiana") was the acquisition of the Louisiana territory (828,000 square miles = 2.14 million km²) by the United States from France in 1803. The U. S. paid fifty million francs ($11,250,000 USD) and a cancellation of debts worth eighteen million francs ($3,750,000 USD) for a total of sixty-eight million francs ($15,000,000 USD, or around a quarter of a billion in 2016 dollars).

If we would double the size of united states, we would look like China and we would be the most powerful army in the world because the world depends in america and the americans were the one who created the atomic bomb.