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Finding the Third Proportional to 27,882,025 and 60,396,114

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Solution

The third proportional to 27,882,025 and 60,396,114 is: 130,825,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882,025 : 60,396,114 = 60,396,114 : x
  2. Step 2: Convert to fraction form
    27,882,025/60,396,114 = 60,396,114/x
  3. Step 3: Cross multiply
    27,882,025x = 60,396,114 × 60,396,114
  4. Step 4: Simplify right side
    27,882,025x = 3,647,690,586,300,996
  5. Step 5: Solve for x
    x = 3,647,690,586,300,996/27,882,025
  6. Step 6: Final answer
    x = 130,825,884.64

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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.