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Finding the Third Proportional to 4,741,648 and 6,775,710

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Solution

The third proportional to 4,741,648 and 6,775,710 is: 9,682,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,648 : 6,775,710 = 6,775,710 : x
  2. Step 2: Convert to fraction form
    4,741,648/6,775,710 = 6,775,710/x
  3. Step 3: Cross multiply
    4,741,648x = 6,775,710 × 6,775,710
  4. Step 4: Simplify right side
    4,741,648x = 45,910,246,004,100
  5. Step 5: Solve for x
    x = 45,910,246,004,100/4,741,648
  6. Step 6: Final answer
    x = 9,682,339.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.