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Finding the Third Proportional to 4,489,745.63 and 9,848,617.88

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Solution

The third proportional to 4,489,745.63 and 9,848,617.88 is: 21,603,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,745.63 : 9,848,617.88 = 9,848,617.88 : x
  2. Step 2: Convert to fraction form
    4,489,745.63/9,848,617.88 = 9,848,617.88/x
  3. Step 3: Cross multiply
    4,489,745.63x = 9,848,617.88 × 9,848,617.88
  4. Step 4: Simplify right side
    4,489,745.63x = 96,995,274,047,769.52
  5. Step 5: Solve for x
    x = 96,995,274,047,769.52/4,489,745.63
  6. Step 6: Final answer
    x = 21,603,734.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.