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Finding the Third Proportional to 5,872,198 and 8,983,824

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Solution

The third proportional to 5,872,198 and 8,983,824 is: 13,744,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872,198 : 8,983,824 = 8,983,824 : x
  2. Step 2: Convert to fraction form
    5,872,198/8,983,824 = 8,983,824/x
  3. Step 3: Cross multiply
    5,872,198x = 8,983,824 × 8,983,824
  4. Step 4: Simplify right side
    5,872,198x = 80,709,093,662,976
  5. Step 5: Solve for x
    x = 80,709,093,662,976/5,872,198
  6. Step 6: Final answer
    x = 13,744,273.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.