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Finding the Third Proportional to 3,388,564.13 and 7,449,733.69

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Solution

The third proportional to 3,388,564.13 and 7,449,733.69 is: 16,378,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388,564.13 : 7,449,733.69 = 7,449,733.69 : x
  2. Step 2: Convert to fraction form
    3,388,564.13/7,449,733.69 = 7,449,733.69/x
  3. Step 3: Cross multiply
    3,388,564.13x = 7,449,733.69 × 7,449,733.69
  4. Step 4: Simplify right side
    3,388,564.13x = 55,498,532,014,672.34
  5. Step 5: Solve for x
    x = 55,498,532,014,672.34/3,388,564.13
  6. Step 6: Final answer
    x = 16,378,185.56

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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.