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Finding the Third Proportional to 5,674,902 and 8,491,617

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Solution

The third proportional to 5,674,902 and 8,491,617 is: 12,706,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,902 : 8,491,617 = 8,491,617 : x
  2. Step 2: Convert to fraction form
    5,674,902/8,491,617 = 8,491,617/x
  3. Step 3: Cross multiply
    5,674,902x = 8,491,617 × 8,491,617
  4. Step 4: Simplify right side
    5,674,902x = 72,107,559,274,689
  5. Step 5: Solve for x
    x = 72,107,559,274,689/5,674,902
  6. Step 6: Final answer
    x = 12,706,397.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.