Finding the Third Proportional to 292,508,812,368 and 411,916,864,966
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Solution
The third proportional to 292,508,812,368 and 411,916,864,966 is: 580,069,715,745.70
Step by Step Solution
- Step 1: Write the proportion equation
292,508,812,368 : 411,916,864,966 = 411,916,864,966 : x - Step 2: Convert to fraction form
292,508,812,368/411,916,864,966 = 411,916,864,966/x - Step 3: Cross multiply
292,508,812,368x = 411,916,864,966 × 411,916,864,966 - Step 4: Simplify right side
292,508,812,368x = 169,675,503,643,417,871,646,720 - Step 5: Solve for x
x = 169,675,503,643,417,871,646,720/292,508,812,368 - Step 6: Final answer
x = 580,069,715,745.70
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.