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Finding the Third Proportional to 11,202,025.50 and 24,439,824

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Solution

The third proportional to 11,202,025.50 and 24,439,824 is: 53,321,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202,025.50 : 24,439,824 = 24,439,824 : x
  2. Step 2: Convert to fraction form
    11,202,025.50/24,439,824 = 24,439,824/x
  3. Step 3: Cross multiply
    11,202,025.50x = 24,439,824 × 24,439,824
  4. Step 4: Simplify right side
    11,202,025.50x = 597,304,997,150,976
  5. Step 5: Solve for x
    x = 597,304,997,150,976/11,202,025.50
  6. Step 6: Final answer
    x = 53,321,160.28

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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.