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Finding the Third Proportional to 667,007,256.75 and 1,448,837,412

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Solution

The third proportional to 667,007,256.75 and 1,448,837,412 is: 3,147,086,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,007,256.75 : 1,448,837,412 = 1,448,837,412 : x
  2. Step 2: Convert to fraction form
    667,007,256.75/1,448,837,412 = 1,448,837,412/x
  3. Step 3: Cross multiply
    667,007,256.75x = 1,448,837,412 × 1,448,837,412
  4. Step 4: Simplify right side
    667,007,256.75x = 2,099,129,846,410,857,728
  5. Step 5: Solve for x
    x = 2,099,129,846,410,857,728/667,007,256.75
  6. Step 6: Final answer
    x = 3,147,086,969.70

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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.