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35,780,624 $\boxed{\phantom{12345}}$ 35,876,002

On comparing 35,780,624 and 35,876,002,

Both numbers have 8 digits.

When the number of digits is the same, we start comparing from the leftmost digit (the highest place value).

Compare the digits in each place value, moving from left to right:

Ten Millions Place (Leftmost digit):

In 35,780,624, the digit is 3.

In 35,876,002, the digit is 3.

Result: These digits are the same. We need to move to the next place value.

Millions Place :

In 35,780,624, the digit is 5.

In 35,876,002, the digit is 5.

Result: These digits are the same. We need to move to the next place value.

Hundreds Thousands Place :

In 35,780,624, the digit is 7.

In 35,876,002, the digit is 8.

Result: Here, 8 is greater than 7.

Hence, 35,780,624 < 35,876,002.