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Finding the Third Proportional to 4,514,285 and 9,764,863

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Solution

The third proportional to 4,514,285 and 9,764,863 is: 21,122,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,285 : 9,764,863 = 9,764,863 : x
  2. Step 2: Convert to fraction form
    4,514,285/9,764,863 = 9,764,863/x
  3. Step 3: Cross multiply
    4,514,285x = 9,764,863 × 9,764,863
  4. Step 4: Simplify right side
    4,514,285x = 95,352,549,408,769
  5. Step 5: Solve for x
    x = 95,352,549,408,769/4,514,285
  6. Step 6: Final answer
    x = 21,122,403.53

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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.