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Finding the Third Proportional to 37,906,311 and 81,865,023

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Solution

The third proportional to 37,906,311 and 81,865,023 is: 176,801,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,311 : 81,865,023 = 81,865,023 : x
  2. Step 2: Convert to fraction form
    37,906,311/81,865,023 = 81,865,023/x
  3. Step 3: Cross multiply
    37,906,311x = 81,865,023 × 81,865,023
  4. Step 4: Simplify right side
    37,906,311x = 6,701,881,990,790,529
  5. Step 5: Solve for x
    x = 6,701,881,990,790,529/37,906,311
  6. Step 6: Final answer
    x = 176,801,218.95

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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.