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Finding the Third Proportional to 878,150,523.87 and 1,917,220,151.78

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Solution

The third proportional to 878,150,523.87 and 1,917,220,151.78 is: 4,185,766,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,150,523.87 : 1,917,220,151.78 = 1,917,220,151.78 : x
  2. Step 2: Convert to fraction form
    878,150,523.87/1,917,220,151.78 = 1,917,220,151.78/x
  3. Step 3: Cross multiply
    878,150,523.87x = 1,917,220,151.78 × 1,917,220,151.78
  4. Step 4: Simplify right side
    878,150,523.87x = 3,675,733,110,381,356,544
  5. Step 5: Solve for x
    x = 3,675,733,110,381,356,544/878,150,523.87
  6. Step 6: Final answer
    x = 4,185,766,574.73

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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.