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Finding the Third Proportional to 7,122,216.75 and 14,496,144

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Solution

The third proportional to 7,122,216.75 and 14,496,144 is: 29,504,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,216.75 : 14,496,144 = 14,496,144 : x
  2. Step 2: Convert to fraction form
    7,122,216.75/14,496,144 = 14,496,144/x
  3. Step 3: Cross multiply
    7,122,216.75x = 14,496,144 × 14,496,144
  4. Step 4: Simplify right side
    7,122,216.75x = 210,138,190,868,736
  5. Step 5: Solve for x
    x = 210,138,190,868,736/7,122,216.75
  6. Step 6: Final answer
    x = 29,504,604.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.