Let's solve this addition problem. We have 3141649634 and 3603218313, and we need to add them together.

Step 1: We'll start by adding the digits 4 & 3 in column 1 and get 7.

Step 2: We'll start by adding the digits 3 & 1 in column 2 and get 4.

Step 3: We'll start by adding the digits 6 & 3 in column 3 and get 9.

Step 4: We'll start by adding the digits 9 & 8 in column 4 and get 17.
We'll write down the last digit 7 and carry the 1 to the next column.

Step 5: We'll start by adding the digits 4 & 1 in column 5 and get 6.

Step 6: We'll start by adding the digits 6 & 2 in column 6 and get 8.

Step 7: We'll start by adding the digits 1 & 3 in column 7 and get 4.

Step 8: We'll start by adding the digits 4 & 0 in column 8 and get 4.

Step 9: We'll start by adding the digits 1 & 6 in column 9 and get 7.

Step 10: We'll start by adding the digits 3 & 3 in column 10 and get 6.

So, 3141649634 + 3603218313 = 6744867947.

