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Finding the Third Proportional to 31,747,194 and 68,906,468

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Solution

The third proportional to 31,747,194 and 68,906,468 is: 149,559,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747,194 : 68,906,468 = 68,906,468 : x
  2. Step 2: Convert to fraction form
    31,747,194/68,906,468 = 68,906,468/x
  3. Step 3: Cross multiply
    31,747,194x = 68,906,468 × 68,906,468
  4. Step 4: Simplify right side
    31,747,194x = 4,748,101,332,235,024
  5. Step 5: Solve for x
    x = 4,748,101,332,235,024/31,747,194
  6. Step 6: Final answer
    x = 149,559,716.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.