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Finding the Third Proportional to 5,206,538 and 11,308,626

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Solution

The third proportional to 5,206,538 and 11,308,626 is: 24,562,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,538 : 11,308,626 = 11,308,626 : x
  2. Step 2: Convert to fraction form
    5,206,538/11,308,626 = 11,308,626/x
  3. Step 3: Cross multiply
    5,206,538x = 11,308,626 × 11,308,626
  4. Step 4: Simplify right side
    5,206,538x = 127,885,022,007,876
  5. Step 5: Solve for x
    x = 127,885,022,007,876/5,206,538
  6. Step 6: Final answer
    x = 24,562,390.98

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