Alaska is about 10,973 times bigger than Christmas Island.

Christmas Island is approximately 135 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 1,097,195% larger than Christmas Island. Meanwhile, the population of Christmas Island is ~2,205 people (708,026 more people live in Alaska).
Tip: This to-scale comparison of Christmas Island vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.