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Finding the Third Proportional to 3,782,184 and 8,194,512

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Solution

The third proportional to 3,782,184 and 8,194,512 is: 17,754,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,184 : 8,194,512 = 8,194,512 : x
  2. Step 2: Convert to fraction form
    3,782,184/8,194,512 = 8,194,512/x
  3. Step 3: Cross multiply
    3,782,184x = 8,194,512 × 8,194,512
  4. Step 4: Simplify right side
    3,782,184x = 67,150,026,918,144
  5. Step 5: Solve for x
    x = 67,150,026,918,144/3,782,184
  6. Step 6: Final answer
    x = 17,754,299.35

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