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Finding the Third Proportional to 8,224,073 and 17,821,035

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Solution

The third proportional to 8,224,073 and 17,821,035 is: 38,617,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,073 : 17,821,035 = 17,821,035 : x
  2. Step 2: Convert to fraction form
    8,224,073/17,821,035 = 17,821,035/x
  3. Step 3: Cross multiply
    8,224,073x = 17,821,035 × 17,821,035
  4. Step 4: Simplify right side
    8,224,073x = 317,589,288,471,225
  5. Step 5: Solve for x
    x = 317,589,288,471,225/8,224,073
  6. Step 6: Final answer
    x = 38,617,031.79

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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.