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Finding the Third Proportional to 7,231,304 and 11,192,016

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Solution

The third proportional to 7,231,304 and 11,192,016 is: 17,322,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231,304 : 11,192,016 = 11,192,016 : x
  2. Step 2: Convert to fraction form
    7,231,304/11,192,016 = 11,192,016/x
  3. Step 3: Cross multiply
    7,231,304x = 11,192,016 × 11,192,016
  4. Step 4: Simplify right side
    7,231,304x = 125,261,222,144,256
  5. Step 5: Solve for x
    x = 125,261,222,144,256/7,231,304
  6. Step 6: Final answer
    x = 17,322,079.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.