North Carolina (USA) is 2,581 times larger than Providence, Rhode Island.
North Carolina is a state in the Southeastern United States. The state borders South Carolina and Georgia to the south, Tennessee to the west, Virginia to the north, and the Atlantic Ocean to the east. North Carolina is the 28th most extensive and the 10th most populous 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