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Finding the Third Proportional to 73,116,377,643 and 159,213,067,110

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Solution

The third proportional to 73,116,377,643 and 159,213,067,110 is: 346,691,145,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,116,377,643 : 159,213,067,110 = 159,213,067,110 : x
  2. Step 2: Convert to fraction form
    73,116,377,643/159,213,067,110 = 159,213,067,110/x
  3. Step 3: Cross multiply
    73,116,377,643x = 159,213,067,110 × 159,213,067,110
  4. Step 4: Simplify right side
    73,116,377,643x = 25,348,800,738,573,361,872,896
  5. Step 5: Solve for x
    x = 25,348,800,738,573,361,872,896/73,116,377,643
  6. Step 6: Final answer
    x = 346,691,145,755.91

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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.