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Finding the Third Proportional to 8,224,073.75 and 17,821,036.75

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Solution

The third proportional to 8,224,073.75 and 17,821,036.75 is: 38,617,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,073.75 : 17,821,036.75 = 17,821,036.75 : x
  2. Step 2: Convert to fraction form
    8,224,073.75/17,821,036.75 = 17,821,036.75/x
  3. Step 3: Cross multiply
    8,224,073.75x = 17,821,036.75 × 17,821,036.75
  4. Step 4: Simplify right side
    8,224,073.75x = 317,589,350,844,850.56
  5. Step 5: Solve for x
    x = 317,589,350,844,850.56/8,224,073.75
  6. Step 6: Final answer
    x = 38,617,035.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.