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Finding the Third Proportional to 7,969,731.75 and 11,960,429.63

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Solution

The third proportional to 7,969,731.75 and 11,960,429.63 is: 17,949,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969,731.75 : 11,960,429.63 = 11,960,429.63 : x
  2. Step 2: Convert to fraction form
    7,969,731.75/11,960,429.63 = 11,960,429.63/x
  3. Step 3: Cross multiply
    7,969,731.75x = 11,960,429.63 × 11,960,429.63
  4. Step 4: Simplify right side
    7,969,731.75x = 143,051,876,814,577.62
  5. Step 5: Solve for x
    x = 143,051,876,814,577.62/7,969,731.75
  6. Step 6: Final answer
    x = 17,949,396.71

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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.