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Finding the Third Proportional to 4,205,737.69 and 9,189,910.69

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Solution

The third proportional to 4,205,737.69 and 9,189,910.69 is: 20,080,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,737.69 : 9,189,910.69 = 9,189,910.69 : x
  2. Step 2: Convert to fraction form
    4,205,737.69/9,189,910.69 = 9,189,910.69/x
  3. Step 3: Cross multiply
    4,205,737.69x = 9,189,910.69 × 9,189,910.69
  4. Step 4: Simplify right side
    4,205,737.69x = 84,454,458,444,226.72
  5. Step 5: Solve for x
    x = 84,454,458,444,226.72/4,205,737.69
  6. Step 6: Final answer
    x = 20,080,771.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.