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Finding the Third Proportional to 4,739,976 and 10,199,268

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Solution

The third proportional to 4,739,976 and 10,199,268 is: 21,946,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739,976 : 10,199,268 = 10,199,268 : x
  2. Step 2: Convert to fraction form
    4,739,976/10,199,268 = 10,199,268/x
  3. Step 3: Cross multiply
    4,739,976x = 10,199,268 × 10,199,268
  4. Step 4: Simplify right side
    4,739,976x = 104,025,067,735,824
  5. Step 5: Solve for x
    x = 104,025,067,735,824/4,739,976
  6. Step 6: Final answer
    x = 21,946,327.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.