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Finding the Third Proportional to 14,410,212 and 31,379,012

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Solution

The third proportional to 14,410,212 and 31,379,012 is: 68,329,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410,212 : 31,379,012 = 31,379,012 : x
  2. Step 2: Convert to fraction form
    14,410,212/31,379,012 = 31,379,012/x
  3. Step 3: Cross multiply
    14,410,212x = 31,379,012 × 31,379,012
  4. Step 4: Simplify right side
    14,410,212x = 984,642,394,096,144
  5. Step 5: Solve for x
    x = 984,642,394,096,144/14,410,212
  6. Step 6: Final answer
    x = 68,329,487.04

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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.