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Finding the Third Proportional to 6,138,144 and 9,292,496

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Solution

The third proportional to 6,138,144 and 9,292,496 is: 14,067,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138,144 : 9,292,496 = 9,292,496 : x
  2. Step 2: Convert to fraction form
    6,138,144/9,292,496 = 9,292,496/x
  3. Step 3: Cross multiply
    6,138,144x = 9,292,496 × 9,292,496
  4. Step 4: Simplify right side
    6,138,144x = 86,350,481,910,016
  5. Step 5: Solve for x
    x = 86,350,481,910,016/6,138,144
  6. Step 6: Final answer
    x = 14,067,848.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.