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Finding the Third Proportional to 5,498,239.50 and 12,078,224

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Solution

The third proportional to 5,498,239.50 and 12,078,224 is: 26,532,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498,239.50 : 12,078,224 = 12,078,224 : x
  2. Step 2: Convert to fraction form
    5,498,239.50/12,078,224 = 12,078,224/x
  3. Step 3: Cross multiply
    5,498,239.50x = 12,078,224 × 12,078,224
  4. Step 4: Simplify right side
    5,498,239.50x = 145,883,494,994,176
  5. Step 5: Solve for x
    x = 145,883,494,994,176/5,498,239.50
  6. Step 6: Final answer
    x = 26,532,764.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.