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Finding the Third Proportional to 11,406,744 and 23,757,057

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Solution

The third proportional to 11,406,744 and 23,757,057 is: 49,479,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406,744 : 23,757,057 = 23,757,057 : x
  2. Step 2: Convert to fraction form
    11,406,744/23,757,057 = 23,757,057/x
  3. Step 3: Cross multiply
    11,406,744x = 23,757,057 × 23,757,057
  4. Step 4: Simplify right side
    11,406,744x = 564,397,757,301,249
  5. Step 5: Solve for x
    x = 564,397,757,301,249/11,406,744
  6. Step 6: Final answer
    x = 49,479,304.29

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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.