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Finding the Third Proportional to 5,491,511 and 11,437,542

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Solution

The third proportional to 5,491,511 and 11,437,542 is: 23,821,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491,511 : 11,437,542 = 11,437,542 : x
  2. Step 2: Convert to fraction form
    5,491,511/11,437,542 = 11,437,542/x
  3. Step 3: Cross multiply
    5,491,511x = 11,437,542 × 11,437,542
  4. Step 4: Simplify right side
    5,491,511x = 130,817,367,001,764
  5. Step 5: Solve for x
    x = 130,817,367,001,764/5,491,511
  6. Step 6: Final answer
    x = 23,821,743.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.