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Finding the Third Proportional to 6,464,756 and 9,641,081

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Solution

The third proportional to 6,464,756 and 9,641,081 is: 14,378,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,756 : 9,641,081 = 9,641,081 : x
  2. Step 2: Convert to fraction form
    6,464,756/9,641,081 = 9,641,081/x
  3. Step 3: Cross multiply
    6,464,756x = 9,641,081 × 9,641,081
  4. Step 4: Simplify right side
    6,464,756x = 92,950,442,848,561
  5. Step 5: Solve for x
    x = 92,950,442,848,561/6,464,756
  6. Step 6: Final answer
    x = 14,378,028.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.