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Finding the Third Proportional to 4,023,411 and 8,622,096

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Solution

The third proportional to 4,023,411 and 8,622,096 is: 18,476,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023,411 : 8,622,096 = 8,622,096 : x
  2. Step 2: Convert to fraction form
    4,023,411/8,622,096 = 8,622,096/x
  3. Step 3: Cross multiply
    4,023,411x = 8,622,096 × 8,622,096
  4. Step 4: Simplify right side
    4,023,411x = 74,340,539,433,216
  5. Step 5: Solve for x
    x = 74,340,539,433,216/4,023,411
  6. Step 6: Final answer
    x = 18,476,993.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.