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Finding the Third Proportional to 4,305,763 and 9,229,727

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Solution

The third proportional to 4,305,763 and 9,229,727 is: 19,784,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,763 : 9,229,727 = 9,229,727 : x
  2. Step 2: Convert to fraction form
    4,305,763/9,229,727 = 9,229,727/x
  3. Step 3: Cross multiply
    4,305,763x = 9,229,727 × 9,229,727
  4. Step 4: Simplify right side
    4,305,763x = 85,187,860,494,529
  5. Step 5: Solve for x
    x = 85,187,860,494,529/4,305,763
  6. Step 6: Final answer
    x = 19,784,614.36

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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.