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Finding the Third Proportional to 37,906,314 and 81,865,029

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Solution

The third proportional to 37,906,314 and 81,865,029 is: 176,801,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,314 : 81,865,029 = 81,865,029 : x
  2. Step 2: Convert to fraction form
    37,906,314/81,865,029 = 81,865,029/x
  3. Step 3: Cross multiply
    37,906,314x = 81,865,029 × 81,865,029
  4. Step 4: Simplify right side
    37,906,314x = 6,701,882,973,170,841
  5. Step 5: Solve for x
    x = 6,701,882,973,170,841/37,906,314
  6. Step 6: Final answer
    x = 176,801,230.88

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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.