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Finding the Third Proportional to 39,318,665,178 and 86,651,726,398

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Solution

The third proportional to 39,318,665,178 and 86,651,726,398 is: 190,965,834,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318,665,178 : 86,651,726,398 = 86,651,726,398 : x
  2. Step 2: Convert to fraction form
    39,318,665,178/86,651,726,398 = 86,651,726,398/x
  3. Step 3: Cross multiply
    39,318,665,178x = 86,651,726,398 × 86,651,726,398
  4. Step 4: Simplify right side
    39,318,665,178x = 7,508,521,687,753,849,569,280
  5. Step 5: Solve for x
    x = 7,508,521,687,753,849,569,280/39,318,665,178
  6. Step 6: Final answer
    x = 190,965,834,006.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.