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Finding the Third Proportional to 73,116,377,631 and 159,213,067,086

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Solution

The third proportional to 73,116,377,631 and 159,213,067,086 is: 346,691,145,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,116,377,631 : 159,213,067,086 = 159,213,067,086 : x
  2. Step 2: Convert to fraction form
    73,116,377,631/159,213,067,086 = 159,213,067,086/x
  3. Step 3: Cross multiply
    73,116,377,631x = 159,213,067,086 × 159,213,067,086
  4. Step 4: Simplify right side
    73,116,377,631x = 25,348,800,730,931,134,464,000
  5. Step 5: Solve for x
    x = 25,348,800,730,931,134,464,000/73,116,377,631
  6. Step 6: Final answer
    x = 346,691,145,708.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.