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Finding the Third Proportional to 8,202,084.19 and 17,948,919.38

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Solution

The third proportional to 8,202,084.19 and 17,948,919.38 is: 39,278,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,084.19 : 17,948,919.38 = 17,948,919.38 : x
  2. Step 2: Convert to fraction form
    8,202,084.19/17,948,919.38 = 17,948,919.38/x
  3. Step 3: Cross multiply
    8,202,084.19x = 17,948,919.38 × 17,948,919.38
  4. Step 4: Simplify right side
    8,202,084.19x = 322,163,706,730,250.38
  5. Step 5: Solve for x
    x = 322,163,706,730,250.38/8,202,084.19
  6. Step 6: Final answer
    x = 39,278,273.59

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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.