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Finding the Third Proportional to 667,018,872 and 1,448,861,287

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Solution

The third proportional to 667,018,872 and 1,448,861,287 is: 3,147,135,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,018,872 : 1,448,861,287 = 1,448,861,287 : x
  2. Step 2: Convert to fraction form
    667,018,872/1,448,861,287 = 1,448,861,287/x
  3. Step 3: Cross multiply
    667,018,872x = 1,448,861,287 × 1,448,861,287
  4. Step 4: Simplify right side
    667,018,872x = 2,099,199,028,967,296,256
  5. Step 5: Solve for x
    x = 2,099,199,028,967,296,256/667,018,872
  6. Step 6: Final answer
    x = 3,147,135,886.39

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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.