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Finding the Third Proportional to 33,814,834 and 73,855,413.50

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Solution

The third proportional to 33,814,834 and 73,855,413.50 is: 161,308,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814,834 : 73,855,413.50 = 73,855,413.50 : x
  2. Step 2: Convert to fraction form
    33,814,834/73,855,413.50 = 73,855,413.50/x
  3. Step 3: Cross multiply
    33,814,834x = 73,855,413.50 × 73,855,413.50
  4. Step 4: Simplify right side
    33,814,834x = 5,454,622,103,255,982
  5. Step 5: Solve for x
    x = 5,454,622,103,255,982/33,814,834
  6. Step 6: Final answer
    x = 161,308,557.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.