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Finding the Third Proportional to 5,614,884 and 8,384,903

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Solution

The third proportional to 5,614,884 and 8,384,903 is: 12,521,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614,884 : 8,384,903 = 8,384,903 : x
  2. Step 2: Convert to fraction form
    5,614,884/8,384,903 = 8,384,903/x
  3. Step 3: Cross multiply
    5,614,884x = 8,384,903 × 8,384,903
  4. Step 4: Simplify right side
    5,614,884x = 70,306,598,319,409
  5. Step 5: Solve for x
    x = 70,306,598,319,409/5,614,884
  6. Step 6: Final answer
    x = 12,521,469.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.