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Finding the Third Proportional to 37,471,689 and 86,741,559

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Solution

The third proportional to 37,471,689 and 86,741,559 is: 200,794,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471,689 : 86,741,559 = 86,741,559 : x
  2. Step 2: Convert to fraction form
    37,471,689/86,741,559 = 86,741,559/x
  3. Step 3: Cross multiply
    37,471,689x = 86,741,559 × 86,741,559
  4. Step 4: Simplify right side
    37,471,689x = 7,524,098,057,750,481
  5. Step 5: Solve for x
    x = 7,524,098,057,750,481/37,471,689
  6. Step 6: Final answer
    x = 200,794,206.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.