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Finding the Third Proportional to 4,682,514 and 10,213,685.25

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Solution

The third proportional to 4,682,514 and 10,213,685.25 is: 22,278,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,514 : 10,213,685.25 = 10,213,685.25 : x
  2. Step 2: Convert to fraction form
    4,682,514/10,213,685.25 = 10,213,685.25/x
  3. Step 3: Cross multiply
    4,682,514x = 10,213,685.25 × 10,213,685.25
  4. Step 4: Simplify right side
    4,682,514x = 104,319,366,386,067.56
  5. Step 5: Solve for x
    x = 104,319,366,386,067.56/4,682,514
  6. Step 6: Final answer
    x = 22,278,495.35

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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.