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Finding the Third Proportional to 12,647,097.56 and 27,212,361.19

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Solution

The third proportional to 12,647,097.56 and 27,212,361.19 is: 58,551,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647,097.56 : 27,212,361.19 = 27,212,361.19 : x
  2. Step 2: Convert to fraction form
    12,647,097.56/27,212,361.19 = 27,212,361.19/x
  3. Step 3: Cross multiply
    12,647,097.56x = 27,212,361.19 × 27,212,361.19
  4. Step 4: Simplify right side
    12,647,097.56x = 740,512,601,398,956.38
  5. Step 5: Solve for x
    x = 740,512,601,398,956.38/12,647,097.56
  6. Step 6: Final answer
    x = 58,551,979.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.