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Finding the Third Proportional to 31,142,826 and 68,150,647.75

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Solution

The third proportional to 31,142,826 and 68,150,647.75 is: 149,135,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142,826 : 68,150,647.75 = 68,150,647.75 : x
  2. Step 2: Convert to fraction form
    31,142,826/68,150,647.75 = 68,150,647.75/x
  3. Step 3: Cross multiply
    31,142,826x = 68,150,647.75 × 68,150,647.75
  4. Step 4: Simplify right side
    31,142,826x = 4,644,510,788,744,580
  5. Step 5: Solve for x
    x = 4,644,510,788,744,580/31,142,826
  6. Step 6: Final answer
    x = 149,135,816.66

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