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Finding the Third Proportional to 132,627,461 and 285,410,314

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Solution

The third proportional to 132,627,461 and 285,410,314 is: 614,194,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,627,461 : 285,410,314 = 285,410,314 : x
  2. Step 2: Convert to fraction form
    132,627,461/285,410,314 = 285,410,314/x
  3. Step 3: Cross multiply
    132,627,461x = 285,410,314 × 285,410,314
  4. Step 4: Simplify right side
    132,627,461x = 81,459,047,337,578,592
  5. Step 5: Solve for x
    x = 81,459,047,337,578,592/132,627,461
  6. Step 6: Final answer
    x = 614,194,426.43

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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.