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Finding the Third Proportional to 5,992,550.86 and 13,206,677.91

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Solution

The third proportional to 5,992,550.86 and 13,206,677.91 is: 29,105,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,550.86 : 13,206,677.91 = 13,206,677.91 : x
  2. Step 2: Convert to fraction form
    5,992,550.86/13,206,677.91 = 13,206,677.91/x
  3. Step 3: Cross multiply
    5,992,550.86x = 13,206,677.91 × 13,206,677.91
  4. Step 4: Simplify right side
    5,992,550.86x = 174,416,341,319,431.88
  5. Step 5: Solve for x
    x = 174,416,341,319,431.88/5,992,550.86
  6. Step 6: Final answer
    x = 29,105,525.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.