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Finding the Third Proportional to 3,867,540.49 and 8,196,105.11

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Solution

The third proportional to 3,867,540.49 and 8,196,105.11 is: 17,369,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867,540.49 : 8,196,105.11 = 8,196,105.11 : x
  2. Step 2: Convert to fraction form
    3,867,540.49/8,196,105.11 = 8,196,105.11/x
  3. Step 3: Cross multiply
    3,867,540.49x = 8,196,105.11 × 8,196,105.11
  4. Step 4: Simplify right side
    3,867,540.49x = 67,176,138,899,895
  5. Step 5: Solve for x
    x = 67,176,138,899,895/3,867,540.49
  6. Step 6: Final answer
    x = 17,369,214.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.