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Finding the Third Proportional to 4,737,900 and 10,420,296

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Solution

The third proportional to 4,737,900 and 10,420,296 is: 22,917,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,900 : 10,420,296 = 10,420,296 : x
  2. Step 2: Convert to fraction form
    4,737,900/10,420,296 = 10,420,296/x
  3. Step 3: Cross multiply
    4,737,900x = 10,420,296 × 10,420,296
  4. Step 4: Simplify right side
    4,737,900x = 108,582,568,727,616
  5. Step 5: Solve for x
    x = 108,582,568,727,616/4,737,900
  6. Step 6: Final answer
    x = 22,917,868.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.