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Finding the Third Proportional to 67,848,834,952 and 149,156,944,684

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Solution

The third proportional to 67,848,834,952 and 149,156,944,684 is: 327,902,375,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,848,834,952 : 149,156,944,684 = 149,156,944,684 : x
  2. Step 2: Convert to fraction form
    67,848,834,952/149,156,944,684 = 149,156,944,684/x
  3. Step 3: Cross multiply
    67,848,834,952x = 149,156,944,684 × 149,156,944,684
  4. Step 4: Simplify right side
    67,848,834,952x = 22,247,794,147,465,837,412,352
  5. Step 5: Solve for x
    x = 22,247,794,147,465,837,412,352/67,848,834,952
  6. Step 6: Final answer
    x = 327,902,375,379.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.