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Finding the Third Proportional to 4,399,150.50 and 9,200,617.88

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Solution

The third proportional to 4,399,150.50 and 9,200,617.88 is: 19,242,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399,150.50 : 9,200,617.88 = 9,200,617.88 : x
  2. Step 2: Convert to fraction form
    4,399,150.50/9,200,617.88 = 9,200,617.88/x
  3. Step 3: Cross multiply
    4,399,150.50x = 9,200,617.88 × 9,200,617.88
  4. Step 4: Simplify right side
    4,399,150.50x = 84,651,369,281,769.52
  5. Step 5: Solve for x
    x = 84,651,369,281,769.52/4,399,150.50
  6. Step 6: Final answer
    x = 19,242,662.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.