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Finding the Third Proportional to 4,682,115,932 and 6,764,848,977

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Solution

The third proportional to 4,682,115,932 and 6,764,848,977 is: 9,774,038,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,115,932 : 6,764,848,977 = 6,764,848,977 : x
  2. Step 2: Convert to fraction form
    4,682,115,932/6,764,848,977 = 6,764,848,977/x
  3. Step 3: Cross multiply
    4,682,115,932x = 6,764,848,977 × 6,764,848,977
  4. Step 4: Simplify right side
    4,682,115,932x = 45,763,181,681,617,944,576
  5. Step 5: Solve for x
    x = 45,763,181,681,617,944,576/4,682,115,932
  6. Step 6: Final answer
    x = 9,774,038,564.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.