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Finding the Third Proportional to 39,431,538 and 86,283,874

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Solution

The third proportional to 39,431,538 and 86,283,874 is: 188,805,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,431,538 : 86,283,874 = 86,283,874 : x
  2. Step 2: Convert to fraction form
    39,431,538/86,283,874 = 86,283,874/x
  3. Step 3: Cross multiply
    39,431,538x = 86,283,874 × 86,283,874
  4. Step 4: Simplify right side
    39,431,538x = 7,444,906,912,447,876
  5. Step 5: Solve for x
    x = 7,444,906,912,447,876/39,431,538
  6. Step 6: Final answer
    x = 188,805,897.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.