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Finding the Third Proportional to 4,514,277 and 9,764,847

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Solution

The third proportional to 4,514,277 and 9,764,847 is: 21,122,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,277 : 9,764,847 = 9,764,847 : x
  2. Step 2: Convert to fraction form
    4,514,277/9,764,847 = 9,764,847/x
  3. Step 3: Cross multiply
    4,514,277x = 9,764,847 × 9,764,847
  4. Step 4: Simplify right side
    4,514,277x = 95,352,236,933,409
  5. Step 5: Solve for x
    x = 95,352,236,933,409/4,514,277
  6. Step 6: Final answer
    x = 21,122,371.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.