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Finding the Third Proportional to 11,287,883.25 and 24,732,286.88

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Solution

The third proportional to 11,287,883.25 and 24,732,286.88 is: 54,189,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287,883.25 : 24,732,286.88 = 24,732,286.88 : x
  2. Step 2: Convert to fraction form
    11,287,883.25/24,732,286.88 = 24,732,286.88/x
  3. Step 3: Cross multiply
    11,287,883.25x = 24,732,286.88 × 24,732,286.88
  4. Step 4: Simplify right side
    11,287,883.25x = 611,686,014,067,297.25
  5. Step 5: Solve for x
    x = 611,686,014,067,297.25/11,287,883.25
  6. Step 6: Final answer
    x = 54,189,612.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.