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Finding the Third Proportional to 132,627,501 and 285,410,400

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Solution

The third proportional to 132,627,501 and 285,410,400 is: 614,194,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,627,501 : 285,410,400 = 285,410,400 : x
  2. Step 2: Convert to fraction form
    132,627,501/285,410,400 = 285,410,400/x
  3. Step 3: Cross multiply
    132,627,501x = 285,410,400 × 285,410,400
  4. Step 4: Simplify right side
    132,627,501x = 81,459,096,428,160,000
  5. Step 5: Solve for x
    x = 81,459,096,428,160,000/132,627,501
  6. Step 6: Final answer
    x = 614,194,611.33

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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.