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Finding the Third Proportional to 11,404,296 and 24,816,204

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Solution

The third proportional to 11,404,296 and 24,816,204 is: 54,001,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404,296 : 24,816,204 = 24,816,204 : x
  2. Step 2: Convert to fraction form
    11,404,296/24,816,204 = 24,816,204/x
  3. Step 3: Cross multiply
    11,404,296x = 24,816,204 × 24,816,204
  4. Step 4: Simplify right side
    11,404,296x = 615,843,980,969,616
  5. Step 5: Solve for x
    x = 615,843,980,969,616/11,404,296
  6. Step 6: Final answer
    x = 54,001,051.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.