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Finding the Third Proportional to 3,686,764 and 7,667,828

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Solution

The third proportional to 3,686,764 and 7,667,828 is: 15,947,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,764 : 7,667,828 = 7,667,828 : x
  2. Step 2: Convert to fraction form
    3,686,764/7,667,828 = 7,667,828/x
  3. Step 3: Cross multiply
    3,686,764x = 7,667,828 × 7,667,828
  4. Step 4: Simplify right side
    3,686,764x = 58,795,586,237,584
  5. Step 5: Solve for x
    x = 58,795,586,237,584/3,686,764
  6. Step 6: Final answer
    x = 15,947,748.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.