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Finding the Third Proportional to 6,783,016 and 14,374,736

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Solution

The third proportional to 6,783,016 and 14,374,736 is: 30,463,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,016 : 14,374,736 = 14,374,736 : x
  2. Step 2: Convert to fraction form
    6,783,016/14,374,736 = 14,374,736/x
  3. Step 3: Cross multiply
    6,783,016x = 14,374,736 × 14,374,736
  4. Step 4: Simplify right side
    6,783,016x = 206,633,035,069,696
  5. Step 5: Solve for x
    x = 206,633,035,069,696/6,783,016
  6. Step 6: Final answer
    x = 30,463,297.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.