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Finding the Third Proportional to 38,319,255 and 83,016,531

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Solution

The third proportional to 38,319,255 and 83,016,531 is: 179,850,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,319,255 : 83,016,531 = 83,016,531 : x
  2. Step 2: Convert to fraction form
    38,319,255/83,016,531 = 83,016,531/x
  3. Step 3: Cross multiply
    38,319,255x = 83,016,531 × 83,016,531
  4. Step 4: Simplify right side
    38,319,255x = 6,891,744,419,273,961
  5. Step 5: Solve for x
    x = 6,891,744,419,273,961/38,319,255
  6. Step 6: Final answer
    x = 179,850,689.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.