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Finding the Third Proportional to 5,357,469 and 8,086,025

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Solution

The third proportional to 5,357,469 and 8,086,025 is: 12,204,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,469 : 8,086,025 = 8,086,025 : x
  2. Step 2: Convert to fraction form
    5,357,469/8,086,025 = 8,086,025/x
  3. Step 3: Cross multiply
    5,357,469x = 8,086,025 × 8,086,025
  4. Step 4: Simplify right side
    5,357,469x = 65,383,800,300,625
  5. Step 5: Solve for x
    x = 65,383,800,300,625/5,357,469
  6. Step 6: Final answer
    x = 12,204,233.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.