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Finding the Third Proportional to 7,972,744 and 17,008,496

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Solution

The third proportional to 7,972,744 and 17,008,496 is: 36,284,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972,744 : 17,008,496 = 17,008,496 : x
  2. Step 2: Convert to fraction form
    7,972,744/17,008,496 = 17,008,496/x
  3. Step 3: Cross multiply
    7,972,744x = 17,008,496 × 17,008,496
  4. Step 4: Simplify right side
    7,972,744x = 289,288,936,182,016
  5. Step 5: Solve for x
    x = 289,288,936,182,016/7,972,744
  6. Step 6: Final answer
    x = 36,284,739.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.