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Finding the Third Proportional to 3,647,019.94 and 7,936,207.88

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Solution

The third proportional to 3,647,019.94 and 7,936,207.88 is: 17,269,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,019.94 : 7,936,207.88 = 7,936,207.88 : x
  2. Step 2: Convert to fraction form
    3,647,019.94/7,936,207.88 = 7,936,207.88/x
  3. Step 3: Cross multiply
    3,647,019.94x = 7,936,207.88 × 7,936,207.88
  4. Step 4: Simplify right side
    3,647,019.94x = 62,983,395,435,212.02
  5. Step 5: Solve for x
    x = 62,983,395,435,212.02/3,647,019.94
  6. Step 6: Final answer
    x = 17,269,824.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.