1. **State the problem:** Add the two very large numbers: $$10000000000000000000000000000000000000000000000000000000000000000000000000000000 + 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$ 2. **Understand the addition of large numbers:** When adding numbers, align them by their least significant digits (rightmost digits) and add digit by digit, carrying over if needed. 3. **Analyze the numbers:** The first number has 68 zeros after the initial 1. The second number has 92 zeros after the initial 1. 4. **Express the numbers in powers of 10:** $$10^{67} + 10^{91}$$ 5. **Add the numbers:** Since the powers of 10 are different, the sum is simply: $$10^{91} + 10^{67}$$ 6. **Write the sum explicitly:** The sum is a 1 followed by 91 zeros plus a 1 followed by 67 zeros. 7. **Final answer:** $$10000000000000000000000000000000000000000000000000000000000000000000000000000000000000 + 10000000000000000000000000000000000000000000000000000000000000000000000000000000 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000 + 10000000000000000000000000000000000000000000000000000000000000000000000000000000$$ Or simply: $$10^{91} + 10^{67}$$