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Finding the Third Proportional to 10,522,025.50 and 24,584,212.50

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Solution

The third proportional to 10,522,025.50 and 24,584,212.50 is: 57,439,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522,025.50 : 24,584,212.50 = 24,584,212.50 : x
  2. Step 2: Convert to fraction form
    10,522,025.50/24,584,212.50 = 24,584,212.50/x
  3. Step 3: Cross multiply
    10,522,025.50x = 24,584,212.50 × 24,584,212.50
  4. Step 4: Simplify right side
    10,522,025.50x = 604,383,504,245,156.25
  5. Step 5: Solve for x
    x = 604,383,504,245,156.25/10,522,025.50
  6. Step 6: Final answer
    x = 57,439,844.09

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