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Finding the Third Proportional to 2,737,374.75 and 5,648,238

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Solution

The third proportional to 2,737,374.75 and 5,648,238 is: 11,654,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737,374.75 : 5,648,238 = 5,648,238 : x
  2. Step 2: Convert to fraction form
    2,737,374.75/5,648,238 = 5,648,238/x
  3. Step 3: Cross multiply
    2,737,374.75x = 5,648,238 × 5,648,238
  4. Step 4: Simplify right side
    2,737,374.75x = 31,902,592,504,644
  5. Step 5: Solve for x
    x = 31,902,592,504,644/2,737,374.75
  6. Step 6: Final answer
    x = 11,654,448.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.