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Finding the Third Proportional to 1,467,079,002 and 2,194,801,812

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Solution

The third proportional to 1,467,079,002 and 2,194,801,812 is: 3,283,500,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,079,002 : 2,194,801,812 = 2,194,801,812 : x
  2. Step 2: Convert to fraction form
    1,467,079,002/2,194,801,812 = 2,194,801,812/x
  3. Step 3: Cross multiply
    1,467,079,002x = 2,194,801,812 × 2,194,801,812
  4. Step 4: Simplify right side
    1,467,079,002x = 4,817,154,993,958,482,944
  5. Step 5: Solve for x
    x = 4,817,154,993,958,482,944/1,467,079,002
  6. Step 6: Final answer
    x = 3,283,500,743.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.