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Finding the Third Proportional to 17,713,755 and 38,144,250

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Solution

The third proportional to 17,713,755 and 38,144,250 is: 82,138,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713,755 : 38,144,250 = 38,144,250 : x
  2. Step 2: Convert to fraction form
    17,713,755/38,144,250 = 38,144,250/x
  3. Step 3: Cross multiply
    17,713,755x = 38,144,250 × 38,144,250
  4. Step 4: Simplify right side
    17,713,755x = 1,454,983,808,062,500
  5. Step 5: Solve for x
    x = 1,454,983,808,062,500/17,713,755
  6. Step 6: Final answer
    x = 82,138,643.56

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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.