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Finding the Third Proportional to 38,393,951.06 and 82,923,998.06

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Solution

The third proportional to 38,393,951.06 and 82,923,998.06 is: 179,100,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,393,951.06 : 82,923,998.06 = 82,923,998.06 : x
  2. Step 2: Convert to fraction form
    38,393,951.06/82,923,998.06 = 82,923,998.06/x
  3. Step 3: Cross multiply
    38,393,951.06x = 82,923,998.06 × 82,923,998.06
  4. Step 4: Simplify right side
    38,393,951.06x = 6,876,389,454,669,504
  5. Step 5: Solve for x
    x = 6,876,389,454,669,504/38,393,951.06
  6. Step 6: Final answer
    x = 179,100,854.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.