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Finding the Third Proportional to 17,906,713 and 38,366,370

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Solution

The third proportional to 17,906,713 and 38,366,370 is: 82,202,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906,713 : 38,366,370 = 38,366,370 : x
  2. Step 2: Convert to fraction form
    17,906,713/38,366,370 = 38,366,370/x
  3. Step 3: Cross multiply
    17,906,713x = 38,366,370 × 38,366,370
  4. Step 4: Simplify right side
    17,906,713x = 1,471,978,346,976,900
  5. Step 5: Solve for x
    x = 1,471,978,346,976,900/17,906,713
  6. Step 6: Final answer
    x = 82,202,598.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.