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Finding the Third Proportional to 4,193,716.08 and 9,172,443.66

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Solution

The third proportional to 4,193,716.08 and 9,172,443.66 is: 20,061,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,716.08 : 9,172,443.66 = 9,172,443.66 : x
  2. Step 2: Convert to fraction form
    4,193,716.08/9,172,443.66 = 9,172,443.66/x
  3. Step 3: Cross multiply
    4,193,716.08x = 9,172,443.66 × 9,172,443.66
  4. Step 4: Simplify right side
    4,193,716.08x = 84,133,722,627,080.88
  5. Step 5: Solve for x
    x = 84,133,722,627,080.88/4,193,716.08
  6. Step 6: Final answer
    x = 20,061,854.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.