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Finding the Third Proportional to 7,533,745.56 and 16,351,806.94

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Solution

The third proportional to 7,533,745.56 and 16,351,806.94 is: 35,491,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533,745.56 : 16,351,806.94 = 16,351,806.94 : x
  2. Step 2: Convert to fraction form
    7,533,745.56/16,351,806.94 = 16,351,806.94/x
  3. Step 3: Cross multiply
    7,533,745.56x = 16,351,806.94 × 16,351,806.94
  4. Step 4: Simplify right side
    7,533,745.56x = 267,381,590,121,273.12
  5. Step 5: Solve for x
    x = 267,381,590,121,273.12/7,533,745.56
  6. Step 6: Final answer
    x = 35,491,189.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.