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Finding the Third Proportional to 8,242,568 and 17,703,952

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Solution

The third proportional to 8,242,568 and 17,703,952 is: 38,025,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,568 : 17,703,952 = 17,703,952 : x
  2. Step 2: Convert to fraction form
    8,242,568/17,703,952 = 17,703,952/x
  3. Step 3: Cross multiply
    8,242,568x = 17,703,952 × 17,703,952
  4. Step 4: Simplify right side
    8,242,568x = 313,429,916,418,304
  5. Step 5: Solve for x
    x = 313,429,916,418,304/8,242,568
  6. Step 6: Final answer
    x = 38,025,760.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.