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Finding the Third Proportional to 11,449,616.25 and 24,692,794.50

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Solution

The third proportional to 11,449,616.25 and 24,692,794.50 is: 53,253,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449,616.25 : 24,692,794.50 = 24,692,794.50 : x
  2. Step 2: Convert to fraction form
    11,449,616.25/24,692,794.50 = 24,692,794.50/x
  3. Step 3: Cross multiply
    11,449,616.25x = 24,692,794.50 × 24,692,794.50
  4. Step 4: Simplify right side
    11,449,616.25x = 609,734,100,219,230.25
  5. Step 5: Solve for x
    x = 609,734,100,219,230.25/11,449,616.25
  6. Step 6: Final answer
    x = 53,253,671.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.