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Finding the Third Proportional to 37,906,313 and 81,865,027

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Solution

The third proportional to 37,906,313 and 81,865,027 is: 176,801,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,313 : 81,865,027 = 81,865,027 : x
  2. Step 2: Convert to fraction form
    37,906,313/81,865,027 = 81,865,027/x
  3. Step 3: Cross multiply
    37,906,313x = 81,865,027 × 81,865,027
  4. Step 4: Simplify right side
    37,906,313x = 6,701,882,645,710,729
  5. Step 5: Solve for x
    x = 6,701,882,645,710,729/37,906,313
  6. Step 6: Final answer
    x = 176,801,226.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.