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Finding the Third Proportional to 3,782,189 and 8,194,522

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Solution

The third proportional to 3,782,189 and 8,194,522 is: 17,754,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,189 : 8,194,522 = 8,194,522 : x
  2. Step 2: Convert to fraction form
    3,782,189/8,194,522 = 8,194,522/x
  3. Step 3: Cross multiply
    3,782,189x = 8,194,522 × 8,194,522
  4. Step 4: Simplify right side
    3,782,189x = 67,150,190,808,484
  5. Step 5: Solve for x
    x = 67,150,190,808,484/3,782,189
  6. Step 6: Final answer
    x = 17,754,319.21

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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.