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Finding the Third Proportional to 4,780,296 and 11,198,412

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Solution

The third proportional to 4,780,296 and 11,198,412 is: 26,233,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780,296 : 11,198,412 = 11,198,412 : x
  2. Step 2: Convert to fraction form
    4,780,296/11,198,412 = 11,198,412/x
  3. Step 3: Cross multiply
    4,780,296x = 11,198,412 × 11,198,412
  4. Step 4: Simplify right side
    4,780,296x = 125,404,431,321,744
  5. Step 5: Solve for x
    x = 125,404,431,321,744/4,780,296
  6. Step 6: Final answer
    x = 26,233,612.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.