New Mexico (USA) is 6,438 times larger than Providence, Rhode Island.
New Mexico is a state located in the southwest and western regions of the United States. It is usually considered one of the Mountain States. New Mexico is the 5th most extensive, the 36th most populous, and the 6th least densely populated of the 50 United States. Wikipedia
Area: 49 km2 calculated
Providence is the capital and most populous city in Rhode Island. Founded in 1636, it is one of the oldest cities in the United States. It is located in Providence County, and is the third-largest city in the New England region after Boston and Worcester. Wikipedia