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Finding the Third Proportional to 8,202,573 and 17,949,150

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Solution

The third proportional to 8,202,573 and 17,949,150 is: 39,276,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,573 : 17,949,150 = 17,949,150 : x
  2. Step 2: Convert to fraction form
    8,202,573/17,949,150 = 17,949,150/x
  3. Step 3: Cross multiply
    8,202,573x = 17,949,150 × 17,949,150
  4. Step 4: Simplify right side
    8,202,573x = 322,171,985,722,500
  5. Step 5: Solve for x
    x = 322,171,985,722,500/8,202,573
  6. Step 6: Final answer
    x = 39,276,942.21

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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.