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Finding the Third Proportional to 6,464,697 and 9,640,991.25

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Solution

The third proportional to 6,464,697 and 9,640,991.25 is: 14,377,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,697 : 9,640,991.25 = 9,640,991.25 : x
  2. Step 2: Convert to fraction form
    6,464,697/9,640,991.25 = 9,640,991.25/x
  3. Step 3: Cross multiply
    6,464,697x = 9,640,991.25 × 9,640,991.25
  4. Step 4: Simplify right side
    6,464,697x = 92,948,712,282,576.56
  5. Step 5: Solve for x
    x = 92,948,712,282,576.56/6,464,697
  6. Step 6: Final answer
    x = 14,377,891.54

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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.