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Finding the Third Proportional to 132,627,512 and 285,410,422

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Solution

The third proportional to 132,627,512 and 285,410,422 is: 614,194,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,627,512 : 285,410,422 = 285,410,422 : x
  2. Step 2: Convert to fraction form
    132,627,512/285,410,422 = 285,410,422/x
  3. Step 3: Cross multiply
    132,627,512x = 285,410,422 × 285,410,422
  4. Step 4: Simplify right side
    132,627,512x = 81,459,108,986,218,080
  5. Step 5: Solve for x
    x = 81,459,108,986,218,080/132,627,512
  6. Step 6: Final answer
    x = 614,194,655.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.