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Finding the Third Proportional to 37,906,338 and 81,865,077

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Solution

The third proportional to 37,906,338 and 81,865,077 is: 176,801,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,338 : 81,865,077 = 81,865,077 : x
  2. Step 2: Convert to fraction form
    37,906,338/81,865,077 = 81,865,077/x
  3. Step 3: Cross multiply
    37,906,338x = 81,865,077 × 81,865,077
  4. Step 4: Simplify right side
    37,906,338x = 6,701,890,832,215,929
  5. Step 5: Solve for x
    x = 6,701,890,832,215,929/37,906,338
  6. Step 6: Final answer
    x = 176,801,326.26

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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.