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Finding the Third Proportional to 33,694,024.50 and 48,149,540.50

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Solution

The third proportional to 33,694,024.50 and 48,149,540.50 is: 68,806,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694,024.50 : 48,149,540.50 = 48,149,540.50 : x
  2. Step 2: Convert to fraction form
    33,694,024.50/48,149,540.50 = 48,149,540.50/x
  3. Step 3: Cross multiply
    33,694,024.50x = 48,149,540.50 × 48,149,540.50
  4. Step 4: Simplify right side
    33,694,024.50x = 2,318,378,250,361,140
  5. Step 5: Solve for x
    x = 2,318,378,250,361,140/33,694,024.50
  6. Step 6: Final answer
    x = 68,806,807.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.