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Finding the Third Proportional to 3,899,524 and 8,415,597

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Solution

The third proportional to 3,899,524 and 8,415,597 is: 18,161,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,524 : 8,415,597 = 8,415,597 : x
  2. Step 2: Convert to fraction form
    3,899,524/8,415,597 = 8,415,597/x
  3. Step 3: Cross multiply
    3,899,524x = 8,415,597 × 8,415,597
  4. Step 4: Simplify right side
    3,899,524x = 70,822,272,866,409
  5. Step 5: Solve for x
    x = 70,822,272,866,409/3,899,524
  6. Step 6: Final answer
    x = 18,161,773.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.