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Finding the Third Proportional to 67,451,189 and 145,132,597

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Solution

The third proportional to 67,451,189 and 145,132,597 is: 312,277,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,451,189 : 145,132,597 = 145,132,597 : x
  2. Step 2: Convert to fraction form
    67,451,189/145,132,597 = 145,132,597/x
  3. Step 3: Cross multiply
    67,451,189x = 145,132,597 × 145,132,597
  4. Step 4: Simplify right side
    67,451,189x = 21,063,470,711,964,408
  5. Step 5: Solve for x
    x = 21,063,470,711,964,408/67,451,189
  6. Step 6: Final answer
    x = 312,277,233.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.