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Finding the Third Proportional to 14,667,039 and 30,968,809.50

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Solution

The third proportional to 14,667,039 and 30,968,809.50 is: 65,389,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667,039 : 30,968,809.50 = 30,968,809.50 : x
  2. Step 2: Convert to fraction form
    14,667,039/30,968,809.50 = 30,968,809.50/x
  3. Step 3: Cross multiply
    14,667,039x = 30,968,809.50 × 30,968,809.50
  4. Step 4: Simplify right side
    14,667,039x = 959,067,161,847,290.25
  5. Step 5: Solve for x
    x = 959,067,161,847,290.25/14,667,039
  6. Step 6: Final answer
    x = 65,389,282.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.