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Finding the Third Proportional to 16,397,367,253,650 and 34,151,934,910,026

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Solution

The third proportional to 16,397,367,253,650 and 34,151,934,910,026 is: 71,130,605,301,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397,367,253,650 : 34,151,934,910,026 = 34,151,934,910,026 : x
  2. Step 2: Convert to fraction form
    16,397,367,253,650/34,151,934,910,026 = 34,151,934,910,026/x
  3. Step 3: Cross multiply
    16,397,367,253,650x = 34,151,934,910,026 × 34,151,934,910,026
  4. Step 4: Simplify right side
    16,397,367,253,650x = 1,166,354,658,098,652,626,819,219,456
  5. Step 5: Solve for x
    x = 1,166,354,658,098,652,626,819,219,456/16,397,367,253,650
  6. Step 6: Final answer
    x = 71,130,605,301,227.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.