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Finding the Third Proportional to 51,919,541 and 80,711,181

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Solution

The third proportional to 51,919,541 and 80,711,181 is: 125,469,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919,541 : 80,711,181 = 80,711,181 : x
  2. Step 2: Convert to fraction form
    51,919,541/80,711,181 = 80,711,181/x
  3. Step 3: Cross multiply
    51,919,541x = 80,711,181 × 80,711,181
  4. Step 4: Simplify right side
    51,919,541x = 6,514,294,738,414,761
  5. Step 5: Solve for x
    x = 6,514,294,738,414,761/51,919,541
  6. Step 6: Final answer
    x = 125,469,035.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.