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Finding the Third Proportional to 3,833,156 and 8,198,163.50

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Solution

The third proportional to 3,833,156 and 8,198,163.50 is: 17,533,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,156 : 8,198,163.50 = 8,198,163.50 : x
  2. Step 2: Convert to fraction form
    3,833,156/8,198,163.50 = 8,198,163.50/x
  3. Step 3: Cross multiply
    3,833,156x = 8,198,163.50 × 8,198,163.50
  4. Step 4: Simplify right side
    3,833,156x = 67,209,884,772,732.25
  5. Step 5: Solve for x
    x = 67,209,884,772,732.25/3,833,156
  6. Step 6: Final answer
    x = 17,533,824.55

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Why These Related Problems?

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