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Finding the Third Proportional to 12,002,289.75 and 17,151,012

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Solution

The third proportional to 12,002,289.75 and 17,151,012 is: 24,508,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002,289.75 : 17,151,012 = 17,151,012 : x
  2. Step 2: Convert to fraction form
    12,002,289.75/17,151,012 = 17,151,012/x
  3. Step 3: Cross multiply
    12,002,289.75x = 17,151,012 × 17,151,012
  4. Step 4: Simplify right side
    12,002,289.75x = 294,157,212,624,144
  5. Step 5: Solve for x
    x = 294,157,212,624,144/12,002,289.75
  6. Step 6: Final answer
    x = 24,508,424.54

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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.