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Finding the Third Proportional to 12,582,369.75 and 27,519,747

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Solution

The third proportional to 12,582,369.75 and 27,519,747 is: 60,190,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582,369.75 : 27,519,747 = 27,519,747 : x
  2. Step 2: Convert to fraction form
    12,582,369.75/27,519,747 = 27,519,747/x
  3. Step 3: Cross multiply
    12,582,369.75x = 27,519,747 × 27,519,747
  4. Step 4: Simplify right side
    12,582,369.75x = 757,336,474,944,009
  5. Step 5: Solve for x
    x = 757,336,474,944,009/12,582,369.75
  6. Step 6: Final answer
    x = 60,190,289.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.