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Finding the Third Proportional to 4,211,326.69 and 8,621,791.88

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Solution

The third proportional to 4,211,326.69 and 8,621,791.88 is: 17,651,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,326.69 : 8,621,791.88 = 8,621,791.88 : x
  2. Step 2: Convert to fraction form
    4,211,326.69/8,621,791.88 = 8,621,791.88/x
  3. Step 3: Cross multiply
    4,211,326.69x = 8,621,791.88 × 8,621,791.88
  4. Step 4: Simplify right side
    4,211,326.69x = 74,335,295,135,816.02
  5. Step 5: Solve for x
    x = 74,335,295,135,816.02/4,211,326.69
  6. Step 6: Final answer
    x = 17,651,277.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.