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Finding the Third Proportional to 1,321,767,650.88 and 1,999,679,039.71

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Solution

The third proportional to 1,321,767,650.88 and 1,999,679,039.71 is: 3,025,279,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,767,650.88 : 1,999,679,039.71 = 1,999,679,039.71 : x
  2. Step 2: Convert to fraction form
    1,321,767,650.88/1,999,679,039.71 = 1,999,679,039.71/x
  3. Step 3: Cross multiply
    1,321,767,650.88x = 1,999,679,039.71 × 1,999,679,039.71
  4. Step 4: Simplify right side
    1,321,767,650.88x = 3,998,716,261,866,305,536
  5. Step 5: Solve for x
    x = 3,998,716,261,866,305,536/1,321,767,650.88
  6. Step 6: Final answer
    x = 3,025,279,260.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.