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Finding the Third Proportional to 33,969,307,395 and 50,659,383,163.50

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Solution

The third proportional to 33,969,307,395 and 50,659,383,163.50 is: 75,549,762,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969,307,395 : 50,659,383,163.50 = 50,659,383,163.50 : x
  2. Step 2: Convert to fraction form
    33,969,307,395/50,659,383,163.50 = 50,659,383,163.50/x
  3. Step 3: Cross multiply
    33,969,307,395x = 50,659,383,163.50 × 50,659,383,163.50
  4. Step 4: Simplify right side
    33,969,307,395x = 2,566,373,102,506,307,223,552
  5. Step 5: Solve for x
    x = 2,566,373,102,506,307,223,552/33,969,307,395
  6. Step 6: Final answer
    x = 75,549,762,397.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.