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Finding the Third Proportional to 5,305,491 and 11,367,317

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Solution

The third proportional to 5,305,491 and 11,367,317 is: 24,355,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,491 : 11,367,317 = 11,367,317 : x
  2. Step 2: Convert to fraction form
    5,305,491/11,367,317 = 11,367,317/x
  3. Step 3: Cross multiply
    5,305,491x = 11,367,317 × 11,367,317
  4. Step 4: Simplify right side
    5,305,491x = 129,215,895,778,489
  5. Step 5: Solve for x
    x = 129,215,895,778,489/5,305,491
  6. Step 6: Final answer
    x = 24,355,124.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.