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Finding the Third Proportional to 3,997,775.25 and 6,324,833.25

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Solution

The third proportional to 3,997,775.25 and 6,324,833.25 is: 10,006,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,775.25 : 6,324,833.25 = 6,324,833.25 : x
  2. Step 2: Convert to fraction form
    3,997,775.25/6,324,833.25 = 6,324,833.25/x
  3. Step 3: Cross multiply
    3,997,775.25x = 6,324,833.25 × 6,324,833.25
  4. Step 4: Simplify right side
    3,997,775.25x = 40,003,515,640,305.56
  5. Step 5: Solve for x
    x = 40,003,515,640,305.56/3,997,775.25
  6. Step 6: Final answer
    x = 10,006,444.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.