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Finding the Third Proportional to 36,414,309.38 and 78,022,617.19

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Solution

The third proportional to 36,414,309.38 and 78,022,617.19 is: 167,174,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,309.38 : 78,022,617.19 = 78,022,617.19 : x
  2. Step 2: Convert to fraction form
    36,414,309.38/78,022,617.19 = 78,022,617.19/x
  3. Step 3: Cross multiply
    36,414,309.38x = 78,022,617.19 × 78,022,617.19
  4. Step 4: Simplify right side
    36,414,309.38x = 6,087,528,792,787,170
  5. Step 5: Solve for x
    x = 6,087,528,792,787,170/36,414,309.38
  6. Step 6: Final answer
    x = 167,174,083.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.