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Finding the Third Proportional to 5,500,065.80 and 8,707,164.61

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Solution

The third proportional to 5,500,065.80 and 8,707,164.61 is: 13,784,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500,065.80 : 8,707,164.61 = 8,707,164.61 : x
  2. Step 2: Convert to fraction form
    5,500,065.80/8,707,164.61 = 8,707,164.61/x
  3. Step 3: Cross multiply
    5,500,065.80x = 8,707,164.61 × 8,707,164.61
  4. Step 4: Simplify right side
    5,500,065.80x = 75,814,715,534,752.50
  5. Step 5: Solve for x
    x = 75,814,715,534,752.50/5,500,065.80
  6. Step 6: Final answer
    x = 13,784,328.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.