Final answer:
Based on the historical data provided, with the United States and Canada being the top two economies by GDP in the Americas, Mexico is suggested to be the 3rd richest country by GDP in this region, given its considerable growth and a per capita GDP exceeding $9,500.
Step-by-step explanation:
The student asked which country has the 3rd richest country by GDP in the Americas. First and foremost, the United States has the largest GDP in the world, including the Americas. In 2013, the U.S. GDP was $16.6 trillion and it further increased to $20.9 trillion in 2020. When considering the regional economic output, Canada and the United States show impressive growth.
Comparing the GDP data from different countries and regions, we see that the U.S. and Canada are at the top two positions in the Americas by a considerable margin. Based on the given information, Brazil's GDP is significantly less than that of the United States when comparing the same year.
Since Mexico's per capita GDP showed considerable growth, exceeding $9,500, it suggests that Mexico might hold the position as the 3rd richest country by GDP in the Americas, following the United States and Canada.
It is important to note that different sources may have updated or different figures, and conducting a current comparison is necessary to get the most accurate ranking. However, based on the provided historical information, Mexico would be a strong candidate for this position.