Finding the Third Proportional to 10,102,327,696,777 and 20,740,209,215,021
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Solution
The third proportional to 10,102,327,696,777 and 20,740,209,215,021 is: 42,579,917,341,235.83
Step by Step Solution
- Step 1: Write the proportion equation
10,102,327,696,777 : 20,740,209,215,021 = 20,740,209,215,021 : x - Step 2: Convert to fraction form
10,102,327,696,777/20,740,209,215,021 = 20,740,209,215,021/x - Step 3: Cross multiply
10,102,327,696,777x = 20,740,209,215,021 × 20,740,209,215,021 - Step 4: Simplify right side
10,102,327,696,777x = 430,156,278,282,842,013,830,217,728 - Step 5: Solve for x
x = 430,156,278,282,842,013,830,217,728/10,102,327,696,777 - Step 6: Final answer
x = 42,579,917,341,235.83
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.