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Finding the Third Proportional to 8,509,651.50 and 12,773,183.25

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Solution

The third proportional to 8,509,651.50 and 12,773,183.25 is: 19,172,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,651.50 : 12,773,183.25 = 12,773,183.25 : x
  2. Step 2: Convert to fraction form
    8,509,651.50/12,773,183.25 = 12,773,183.25/x
  3. Step 3: Cross multiply
    8,509,651.50x = 12,773,183.25 × 12,773,183.25
  4. Step 4: Simplify right side
    8,509,651.50x = 163,154,210,338,080.56
  5. Step 5: Solve for x
    x = 163,154,210,338,080.56/8,509,651.50
  6. Step 6: Final answer
    x = 19,172,842.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.