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Finding the Third Proportional to 8,202,224 and 17,949,193

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Solution

The third proportional to 8,202,224 and 17,949,193 is: 39,278,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,224 : 17,949,193 = 17,949,193 : x
  2. Step 2: Convert to fraction form
    8,202,224/17,949,193 = 17,949,193/x
  3. Step 3: Cross multiply
    8,202,224x = 17,949,193 × 17,949,193
  4. Step 4: Simplify right side
    8,202,224x = 322,173,529,351,249
  5. Step 5: Solve for x
    x = 322,173,529,351,249/8,202,224
  6. Step 6: Final answer
    x = 39,278,801.62

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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.