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Finding the Third Proportional to 12,757,848 and 27,286,032

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Solution

The third proportional to 12,757,848 and 27,286,032 is: 58,358,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757,848 : 27,286,032 = 27,286,032 : x
  2. Step 2: Convert to fraction form
    12,757,848/27,286,032 = 27,286,032/x
  3. Step 3: Cross multiply
    12,757,848x = 27,286,032 × 27,286,032
  4. Step 4: Simplify right side
    12,757,848x = 744,527,542,305,024
  5. Step 5: Solve for x
    x = 744,527,542,305,024/12,757,848
  6. Step 6: Final answer
    x = 58,358,395.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.