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Finding the Third Proportional to 57,393,978,404 and 80,788,149,640

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Solution

The third proportional to 57,393,978,404 and 80,788,149,640 is: 113,717,942,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393,978,404 : 80,788,149,640 = 80,788,149,640 : x
  2. Step 2: Convert to fraction form
    57,393,978,404/80,788,149,640 = 80,788,149,640/x
  3. Step 3: Cross multiply
    57,393,978,404x = 80,788,149,640 × 80,788,149,640
  4. Step 4: Simplify right side
    57,393,978,404x = 6,526,725,122,255,031,894,016
  5. Step 5: Solve for x
    x = 6,526,725,122,255,031,894,016/57,393,978,404
  6. Step 6: Final answer
    x = 113,717,942,260.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.