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Finding the Third Proportional to 14,410,215 and 31,379,016

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Solution

The third proportional to 14,410,215 and 31,379,016 is: 68,329,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410,215 : 31,379,016 = 31,379,016 : x
  2. Step 2: Convert to fraction form
    14,410,215/31,379,016 = 31,379,016/x
  3. Step 3: Cross multiply
    14,410,215x = 31,379,016 × 31,379,016
  4. Step 4: Simplify right side
    14,410,215x = 984,642,645,128,256
  5. Step 5: Solve for x
    x = 984,642,645,128,256/14,410,215
  6. Step 6: Final answer
    x = 68,329,490.24

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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.