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Finding the Third Proportional to 2,745,902.85 and 5,905,040.48

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Solution

The third proportional to 2,745,902.85 and 5,905,040.48 is: 12,698,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745,902.85 : 5,905,040.48 = 5,905,040.48 : x
  2. Step 2: Convert to fraction form
    2,745,902.85/5,905,040.48 = 5,905,040.48/x
  3. Step 3: Cross multiply
    2,745,902.85x = 5,905,040.48 × 5,905,040.48
  4. Step 4: Simplify right side
    2,745,902.85x = 34,869,503,122,107.73
  5. Step 5: Solve for x
    x = 34,869,503,122,107.73/2,745,902.85
  6. Step 6: Final answer
    x = 12,698,738.83

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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.