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Finding the Third Proportional to 4,327,769 and 9,234,757

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Solution

The third proportional to 4,327,769 and 9,234,757 is: 19,705,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327,769 : 9,234,757 = 9,234,757 : x
  2. Step 2: Convert to fraction form
    4,327,769/9,234,757 = 9,234,757/x
  3. Step 3: Cross multiply
    4,327,769x = 9,234,757 × 9,234,757
  4. Step 4: Simplify right side
    4,327,769x = 85,280,736,849,049
  5. Step 5: Solve for x
    x = 85,280,736,849,049/4,327,769
  6. Step 6: Final answer
    x = 19,705,473.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.