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Finding the Third Proportional to 9,530,400 and 20,553,696

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Solution

The third proportional to 9,530,400 and 20,553,696 is: 44,327,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530,400 : 20,553,696 = 20,553,696 : x
  2. Step 2: Convert to fraction form
    9,530,400/20,553,696 = 20,553,696/x
  3. Step 3: Cross multiply
    9,530,400x = 20,553,696 × 20,553,696
  4. Step 4: Simplify right side
    9,530,400x = 422,454,419,260,416
  5. Step 5: Solve for x
    x = 422,454,419,260,416/9,530,400
  6. Step 6: Final answer
    x = 44,327,039.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.