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Finding the Third Proportional to 5,674,912 and 8,491,632

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Solution

The third proportional to 5,674,912 and 8,491,632 is: 12,706,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,912 : 8,491,632 = 8,491,632 : x
  2. Step 2: Convert to fraction form
    5,674,912/8,491,632 = 8,491,632/x
  3. Step 3: Cross multiply
    5,674,912x = 8,491,632 × 8,491,632
  4. Step 4: Simplify right side
    5,674,912x = 72,107,814,023,424
  5. Step 5: Solve for x
    x = 72,107,814,023,424/5,674,912
  6. Step 6: Final answer
    x = 12,706,419.77

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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.