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Finding the Third Proportional to 5,165,019 and 7,720,540.50

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Solution

The third proportional to 5,165,019 and 7,720,540.50 is: 11,540,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165,019 : 7,720,540.50 = 7,720,540.50 : x
  2. Step 2: Convert to fraction form
    5,165,019/7,720,540.50 = 7,720,540.50/x
  3. Step 3: Cross multiply
    5,165,019x = 7,720,540.50 × 7,720,540.50
  4. Step 4: Simplify right side
    5,165,019x = 59,606,745,612,140.25
  5. Step 5: Solve for x
    x = 59,606,745,612,140.25/5,165,019
  6. Step 6: Final answer
    x = 11,540,469.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.