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Finding the Third Proportional to 7,882,002 and 16,942,724

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Solution

The third proportional to 7,882,002 and 16,942,724 is: 36,419,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,002 : 16,942,724 = 16,942,724 : x
  2. Step 2: Convert to fraction form
    7,882,002/16,942,724 = 16,942,724/x
  3. Step 3: Cross multiply
    7,882,002x = 16,942,724 × 16,942,724
  4. Step 4: Simplify right side
    7,882,002x = 287,055,896,540,176
  5. Step 5: Solve for x
    x = 287,055,896,540,176/7,882,002
  6. Step 6: Final answer
    x = 36,419,160.58

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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.