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Finding the Third Proportional to 5,515,356,564 and 8,253,493,749

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Solution

The third proportional to 5,515,356,564 and 8,253,493,749 is: 12,350,998,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515,356,564 : 8,253,493,749 = 8,253,493,749 : x
  2. Step 2: Convert to fraction form
    5,515,356,564/8,253,493,749 = 8,253,493,749/x
  3. Step 3: Cross multiply
    5,515,356,564x = 8,253,493,749 × 8,253,493,749
  4. Step 4: Simplify right side
    5,515,356,564x = 68,120,159,064,782,077,952
  5. Step 5: Solve for x
    x = 68,120,159,064,782,077,952/5,515,356,564
  6. Step 6: Final answer
    x = 12,350,998,212.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.