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Finding the Third Proportional to 4,801,902.75 and 7,324,806.38

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Solution

The third proportional to 4,801,902.75 and 7,324,806.38 is: 11,173,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801,902.75 : 7,324,806.38 = 7,324,806.38 : x
  2. Step 2: Convert to fraction form
    4,801,902.75/7,324,806.38 = 7,324,806.38/x
  3. Step 3: Cross multiply
    4,801,902.75x = 7,324,806.38 × 7,324,806.38
  4. Step 4: Simplify right side
    4,801,902.75x = 53,652,788,431,240.64
  5. Step 5: Solve for x
    x = 53,652,788,431,240.64/4,801,902.75
  6. Step 6: Final answer
    x = 11,173,235.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.