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Finding the Third Proportional to 5,489,120.83 and 11,596,205.85

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Solution

The third proportional to 5,489,120.83 and 11,596,205.85 is: 24,497,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489,120.83 : 11,596,205.85 = 11,596,205.85 : x
  2. Step 2: Convert to fraction form
    5,489,120.83/11,596,205.85 = 11,596,205.85/x
  3. Step 3: Cross multiply
    5,489,120.83x = 11,596,205.85 × 11,596,205.85
  4. Step 4: Simplify right side
    5,489,120.83x = 134,471,990,061,211.22
  5. Step 5: Solve for x
    x = 134,471,990,061,211.22/5,489,120.83
  6. Step 6: Final answer
    x = 24,497,910.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.