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Finding the Third Proportional to 5,357,744 and 11,755,996

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Solution

The third proportional to 5,357,744 and 11,755,996 is: 25,795,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,744 : 11,755,996 = 11,755,996 : x
  2. Step 2: Convert to fraction form
    5,357,744/11,755,996 = 11,755,996/x
  3. Step 3: Cross multiply
    5,357,744x = 11,755,996 × 11,755,996
  4. Step 4: Simplify right side
    5,357,744x = 138,203,441,952,016
  5. Step 5: Solve for x
    x = 138,203,441,952,016/5,357,744
  6. Step 6: Final answer
    x = 25,795,081.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.