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Finding the Third Proportional to 14,410,208 and 31,379,007

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Solution

The third proportional to 14,410,208 and 31,379,007 is: 68,329,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410,208 : 31,379,007 = 31,379,007 : x
  2. Step 2: Convert to fraction form
    14,410,208/31,379,007 = 31,379,007/x
  3. Step 3: Cross multiply
    14,410,208x = 31,379,007 × 31,379,007
  4. Step 4: Simplify right side
    14,410,208x = 984,642,080,306,049
  5. Step 5: Solve for x
    x = 984,642,080,306,049/14,410,208
  6. Step 6: Final answer
    x = 68,329,484.23

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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.