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Finding the Third Proportional to 4,959,686 and 10,514,636

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Solution

The third proportional to 4,959,686 and 10,514,636 is: 22,291,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959,686 : 10,514,636 = 10,514,636 : x
  2. Step 2: Convert to fraction form
    4,959,686/10,514,636 = 10,514,636/x
  3. Step 3: Cross multiply
    4,959,686x = 10,514,636 × 10,514,636
  4. Step 4: Simplify right side
    4,959,686x = 110,557,570,212,496
  5. Step 5: Solve for x
    x = 110,557,570,212,496/4,959,686
  6. Step 6: Final answer
    x = 22,291,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.