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Finding the Third Proportional to 4,904,787.75 and 11,456,151

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Solution

The third proportional to 4,904,787.75 and 11,456,151 is: 26,758,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904,787.75 : 11,456,151 = 11,456,151 : x
  2. Step 2: Convert to fraction form
    4,904,787.75/11,456,151 = 11,456,151/x
  3. Step 3: Cross multiply
    4,904,787.75x = 11,456,151 × 11,456,151
  4. Step 4: Simplify right side
    4,904,787.75x = 131,243,395,734,801
  5. Step 5: Solve for x
    x = 131,243,395,734,801/4,904,787.75
  6. Step 6: Final answer
    x = 26,758,221.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.