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Finding the Third Proportional to 37,871,914 and 81,797,264

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Solution

The third proportional to 37,871,914 and 81,797,264 is: 176,668,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,871,914 : 81,797,264 = 81,797,264 : x
  2. Step 2: Convert to fraction form
    37,871,914/81,797,264 = 81,797,264/x
  3. Step 3: Cross multiply
    37,871,914x = 81,797,264 × 81,797,264
  4. Step 4: Simplify right side
    37,871,914x = 6,690,792,397,885,696
  5. Step 5: Solve for x
    x = 6,690,792,397,885,696/37,871,914
  6. Step 6: Final answer
    x = 176,668,979.49

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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.