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Finding the Third Proportional to 9,463,884 and 20,542,947.94

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Solution

The third proportional to 9,463,884 and 20,542,947.94 is: 44,591,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463,884 : 20,542,947.94 = 20,542,947.94 : x
  2. Step 2: Convert to fraction form
    9,463,884/20,542,947.94 = 20,542,947.94/x
  3. Step 3: Cross multiply
    9,463,884x = 20,542,947.94 × 20,542,947.94
  4. Step 4: Simplify right side
    9,463,884x = 422,012,709,962,835.50
  5. Step 5: Solve for x
    x = 422,012,709,962,835.50/9,463,884
  6. Step 6: Final answer
    x = 44,591,914.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.