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Finding the Third Proportional to 667,007,328 and 1,448,837,562.75

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Solution

The third proportional to 667,007,328 and 1,448,837,562.75 is: 3,147,087,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,007,328 : 1,448,837,562.75 = 1,448,837,562.75 : x
  2. Step 2: Convert to fraction form
    667,007,328/1,448,837,562.75 = 1,448,837,562.75/x
  3. Step 3: Cross multiply
    667,007,328x = 1,448,837,562.75 × 1,448,837,562.75
  4. Step 4: Simplify right side
    667,007,328x = 2,099,130,283,235,360,256
  5. Step 5: Solve for x
    x = 2,099,130,283,235,360,256/667,007,328
  6. Step 6: Final answer
    x = 3,147,087,288.43

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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.