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Finding the Third Proportional to 33,950,761 and 53,848,013

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Solution

The third proportional to 33,950,761 and 53,848,013 is: 85,406,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,950,761 : 53,848,013 = 53,848,013 : x
  2. Step 2: Convert to fraction form
    33,950,761/53,848,013 = 53,848,013/x
  3. Step 3: Cross multiply
    33,950,761x = 53,848,013 × 53,848,013
  4. Step 4: Simplify right side
    33,950,761x = 2,899,608,504,048,169
  5. Step 5: Solve for x
    x = 2,899,608,504,048,169/33,950,761
  6. Step 6: Final answer
    x = 85,406,288.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.