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Finding the Third Proportional to 73,696,767 and 157,745,997

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Solution

The third proportional to 73,696,767 and 157,745,997 is: 337,651,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696,767 : 157,745,997 = 157,745,997 : x
  2. Step 2: Convert to fraction form
    73,696,767/157,745,997 = 157,745,997/x
  3. Step 3: Cross multiply
    73,696,767x = 157,745,997 × 157,745,997
  4. Step 4: Simplify right side
    73,696,767x = 24,883,799,569,524,008
  5. Step 5: Solve for x
    x = 24,883,799,569,524,008/73,696,767
  6. Step 6: Final answer
    x = 337,651,169.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.