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Finding the Third Proportional to 3,780,516 and 8,295,920

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Solution

The third proportional to 3,780,516 and 8,295,920 is: 18,204,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,516 : 8,295,920 = 8,295,920 : x
  2. Step 2: Convert to fraction form
    3,780,516/8,295,920 = 8,295,920/x
  3. Step 3: Cross multiply
    3,780,516x = 8,295,920 × 8,295,920
  4. Step 4: Simplify right side
    3,780,516x = 68,822,288,646,400
  5. Step 5: Solve for x
    x = 68,822,288,646,400/3,780,516
  6. Step 6: Final answer
    x = 18,204,469.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.