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Finding the Third Proportional to 5,198,652 and 11,592,643.50

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Solution

The third proportional to 5,198,652 and 11,592,643.50 is: 25,850,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,652 : 11,592,643.50 = 11,592,643.50 : x
  2. Step 2: Convert to fraction form
    5,198,652/11,592,643.50 = 11,592,643.50/x
  3. Step 3: Cross multiply
    5,198,652x = 11,592,643.50 × 11,592,643.50
  4. Step 4: Simplify right side
    5,198,652x = 134,389,383,318,092.25
  5. Step 5: Solve for x
    x = 134,389,383,318,092.25/5,198,652
  6. Step 6: Final answer
    x = 25,850,813.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.