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Finding the Third Proportional to 65,661,800,614.50 and 133,150,717,986

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Solution

The third proportional to 65,661,800,614.50 and 133,150,717,986 is: 270,006,511,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661,800,614.50 : 133,150,717,986 = 133,150,717,986 : x
  2. Step 2: Convert to fraction form
    65,661,800,614.50/133,150,717,986 = 133,150,717,986/x
  3. Step 3: Cross multiply
    65,661,800,614.50x = 133,150,717,986 × 133,150,717,986
  4. Step 4: Simplify right side
    65,661,800,614.50x = 17,729,113,700,187,303,313,408
  5. Step 5: Solve for x
    x = 17,729,113,700,187,303,313,408/65,661,800,614.50
  6. Step 6: Final answer
    x = 270,006,511,156.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.