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Finding the Third Proportional to 667,019,034 and 1,448,861,616

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Solution

The third proportional to 667,019,034 and 1,448,861,616 is: 3,147,136,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,019,034 : 1,448,861,616 = 1,448,861,616 : x
  2. Step 2: Convert to fraction form
    667,019,034/1,448,861,616 = 1,448,861,616/x
  3. Step 3: Cross multiply
    667,019,034x = 1,448,861,616 × 1,448,861,616
  4. Step 4: Simplify right side
    667,019,034x = 2,099,199,982,318,131,456
  5. Step 5: Solve for x
    x = 2,099,199,982,318,131,456/667,019,034
  6. Step 6: Final answer
    x = 3,147,136,551.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.