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Finding the Third Proportional to 5,354,353.13 and 8,156,998.69

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Solution

The third proportional to 5,354,353.13 and 8,156,998.69 is: 12,426,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,353.13 : 8,156,998.69 = 8,156,998.69 : x
  2. Step 2: Convert to fraction form
    5,354,353.13/8,156,998.69 = 8,156,998.69/x
  3. Step 3: Cross multiply
    5,354,353.13x = 8,156,998.69 × 8,156,998.69
  4. Step 4: Simplify right side
    5,354,353.13x = 66,536,627,587,876.72
  5. Step 5: Solve for x
    x = 66,536,627,587,876.72/5,354,353.13
  6. Step 6: Final answer
    x = 12,426,641.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.