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Finding the Third Proportional to 3,833,200 and 8,198,256

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Solution

The third proportional to 3,833,200 and 8,198,256 is: 17,534,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,200 : 8,198,256 = 8,198,256 : x
  2. Step 2: Convert to fraction form
    3,833,200/8,198,256 = 8,198,256/x
  3. Step 3: Cross multiply
    3,833,200x = 8,198,256 × 8,198,256
  4. Step 4: Simplify right side
    3,833,200x = 67,211,401,441,536
  5. Step 5: Solve for x
    x = 67,211,401,441,536/3,833,200
  6. Step 6: Final answer
    x = 17,534,018.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.