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Finding the Third Proportional to 16,270,736 and 35,667,424

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Solution

The third proportional to 16,270,736 and 35,667,424 is: 78,187,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270,736 : 35,667,424 = 35,667,424 : x
  2. Step 2: Convert to fraction form
    16,270,736/35,667,424 = 35,667,424/x
  3. Step 3: Cross multiply
    16,270,736x = 35,667,424 × 35,667,424
  4. Step 4: Simplify right side
    16,270,736x = 1,272,165,134,795,776
  5. Step 5: Solve for x
    x = 1,272,165,134,795,776/16,270,736
  6. Step 6: Final answer
    x = 78,187,313.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.