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Finding the Third Proportional to 47,107,569 and 70,897,227

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Solution

The third proportional to 47,107,569 and 70,897,227 is: 106,700,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,107,569 : 70,897,227 = 70,897,227 : x
  2. Step 2: Convert to fraction form
    47,107,569/70,897,227 = 70,897,227/x
  3. Step 3: Cross multiply
    47,107,569x = 70,897,227 × 70,897,227
  4. Step 4: Simplify right side
    47,107,569x = 5,026,416,796,289,529
  5. Step 5: Solve for x
    x = 5,026,416,796,289,529/47,107,569
  6. Step 6: Final answer
    x = 106,700,831.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.