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Finding the Third Proportional to 3,784,299.75 and 8,262,198

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Solution

The third proportional to 3,784,299.75 and 8,262,198 is: 18,038,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,299.75 : 8,262,198 = 8,262,198 : x
  2. Step 2: Convert to fraction form
    3,784,299.75/8,262,198 = 8,262,198/x
  3. Step 3: Cross multiply
    3,784,299.75x = 8,262,198 × 8,262,198
  4. Step 4: Simplify right side
    3,784,299.75x = 68,263,915,791,204
  5. Step 5: Solve for x
    x = 68,263,915,791,204/3,784,299.75
  6. Step 6: Final answer
    x = 18,038,717.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.