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Finding the Third Proportional to 62,172,002,655 and 95,503,800,793.50

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Solution

The third proportional to 62,172,002,655 and 95,503,800,793.50 is: 146,705,519,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,172,002,655 : 95,503,800,793.50 = 95,503,800,793.50 : x
  2. Step 2: Convert to fraction form
    62,172,002,655/95,503,800,793.50 = 95,503,800,793.50/x
  3. Step 3: Cross multiply
    62,172,002,655x = 95,503,800,793.50 × 95,503,800,793.50
  4. Step 4: Simplify right side
    62,172,002,655x = 9,120,975,966,004,531,167,232
  5. Step 5: Solve for x
    x = 9,120,975,966,004,531,167,232/62,172,002,655
  6. Step 6: Final answer
    x = 146,705,519,791.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.