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Finding the Third Proportional to 8,202,226 and 17,949,142.25

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Solution

The third proportional to 8,202,226 and 17,949,142.25 is: 39,278,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,226 : 17,949,142.25 = 17,949,142.25 : x
  2. Step 2: Convert to fraction form
    8,202,226/17,949,142.25 = 17,949,142.25/x
  3. Step 3: Cross multiply
    8,202,226x = 17,949,142.25 × 17,949,142.25
  4. Step 4: Simplify right side
    8,202,226x = 322,171,707,510,735.06
  5. Step 5: Solve for x
    x = 322,171,707,510,735.06/8,202,226
  6. Step 6: Final answer
    x = 39,278,569.93

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