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Finding the Third Proportional to 8,396,950 and 18,313,316

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Solution

The third proportional to 8,396,950 and 18,313,316 is: 39,940,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396,950 : 18,313,316 = 18,313,316 : x
  2. Step 2: Convert to fraction form
    8,396,950/18,313,316 = 18,313,316/x
  3. Step 3: Cross multiply
    8,396,950x = 18,313,316 × 18,313,316
  4. Step 4: Simplify right side
    8,396,950x = 335,377,542,915,856
  5. Step 5: Solve for x
    x = 335,377,542,915,856/8,396,950
  6. Step 6: Final answer
    x = 39,940,400.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.