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Finding the Third Proportional to 39,524,841 and 85,646,523

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Solution

The third proportional to 39,524,841 and 85,646,523 is: 185,587,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524,841 : 85,646,523 = 85,646,523 : x
  2. Step 2: Convert to fraction form
    39,524,841/85,646,523 = 85,646,523/x
  3. Step 3: Cross multiply
    39,524,841x = 85,646,523 × 85,646,523
  4. Step 4: Simplify right side
    39,524,841x = 7,335,326,901,989,529
  5. Step 5: Solve for x
    x = 7,335,326,901,989,529/39,524,841
  6. Step 6: Final answer
    x = 185,587,764.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.