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Finding the Third Proportional to 179,472,010,701 and 387,599,579,832

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Solution

The third proportional to 179,472,010,701 and 387,599,579,832 is: 837,085,591,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,472,010,701 : 387,599,579,832 = 387,599,579,832 : x
  2. Step 2: Convert to fraction form
    179,472,010,701/387,599,579,832 = 387,599,579,832/x
  3. Step 3: Cross multiply
    179,472,010,701x = 387,599,579,832 × 387,599,579,832
  4. Step 4: Simplify right side
    179,472,010,701x = 150,233,434,285,942,945,873,920
  5. Step 5: Solve for x
    x = 150,233,434,285,942,945,873,920/179,472,010,701
  6. Step 6: Final answer
    x = 837,085,591,781.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.