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Finding the Third Proportional to 37,906,838 and 55,438,599

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Solution

The third proportional to 37,906,838 and 55,438,599 is: 81,078,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,838 : 55,438,599 = 55,438,599 : x
  2. Step 2: Convert to fraction form
    37,906,838/55,438,599 = 55,438,599/x
  3. Step 3: Cross multiply
    37,906,838x = 55,438,599 × 55,438,599
  4. Step 4: Simplify right side
    37,906,838x = 3,073,438,259,082,801
  5. Step 5: Solve for x
    x = 3,073,438,259,082,801/37,906,838
  6. Step 6: Final answer
    x = 81,078,729.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.