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Finding the Third Proportional to 3,084,140 and 6,683,116

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Solution

The third proportional to 3,084,140 and 6,683,116 is: 14,481,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,140 : 6,683,116 = 6,683,116 : x
  2. Step 2: Convert to fraction form
    3,084,140/6,683,116 = 6,683,116/x
  3. Step 3: Cross multiply
    3,084,140x = 6,683,116 × 6,683,116
  4. Step 4: Simplify right side
    3,084,140x = 44,664,039,469,456
  5. Step 5: Solve for x
    x = 44,664,039,469,456/3,084,140
  6. Step 6: Final answer
    x = 14,481,845.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.