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Finding the Third Proportional to 6,165,940 and 12,996,620

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Solution

The third proportional to 6,165,940 and 12,996,620 is: 27,394,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165,940 : 12,996,620 = 12,996,620 : x
  2. Step 2: Convert to fraction form
    6,165,940/12,996,620 = 12,996,620/x
  3. Step 3: Cross multiply
    6,165,940x = 12,996,620 × 12,996,620
  4. Step 4: Simplify right side
    6,165,940x = 168,912,131,424,400
  5. Step 5: Solve for x
    x = 168,912,131,424,400/6,165,940
  6. Step 6: Final answer
    x = 27,394,384.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.