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Finding the Third Proportional to 8,082,516 and 17,285,736

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Solution

The third proportional to 8,082,516 and 17,285,736 is: 36,968,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082,516 : 17,285,736 = 17,285,736 : x
  2. Step 2: Convert to fraction form
    8,082,516/17,285,736 = 17,285,736/x
  3. Step 3: Cross multiply
    8,082,516x = 17,285,736 × 17,285,736
  4. Step 4: Simplify right side
    8,082,516x = 298,796,669,061,696
  5. Step 5: Solve for x
    x = 298,796,669,061,696/8,082,516
  6. Step 6: Final answer
    x = 36,968,274.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.