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Finding the Third Proportional to 2,179,902.94 and 5,091,616.41

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Solution

The third proportional to 2,179,902.94 and 5,091,616.41 is: 11,892,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,902.94 : 5,091,616.41 = 5,091,616.41 : x
  2. Step 2: Convert to fraction form
    2,179,902.94/5,091,616.41 = 5,091,616.41/x
  3. Step 3: Cross multiply
    2,179,902.94x = 5,091,616.41 × 5,091,616.41
  4. Step 4: Simplify right side
    2,179,902.94x = 25,924,557,628,394.16
  5. Step 5: Solve for x
    x = 25,924,557,628,394.16/2,179,902.94
  6. Step 6: Final answer
    x = 11,892,528.42

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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.