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Finding the Third Proportional to 5,989,408.31 and 13,028,224.78

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Solution

The third proportional to 5,989,408.31 and 13,028,224.78 is: 28,339,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989,408.31 : 13,028,224.78 = 13,028,224.78 : x
  2. Step 2: Convert to fraction form
    5,989,408.31/13,028,224.78 = 13,028,224.78/x
  3. Step 3: Cross multiply
    5,989,408.31x = 13,028,224.78 × 13,028,224.78
  4. Step 4: Simplify right side
    5,989,408.31x = 169,734,640,950,776.62
  5. Step 5: Solve for x
    x = 169,734,640,950,776.62/5,989,408.31
  6. Step 6: Final answer
    x = 28,339,133.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.