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Finding the Third Proportional to 47,285,732 and 102,115,912

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Solution

The third proportional to 47,285,732 and 102,115,912 is: 220,524,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,285,732 : 102,115,912 = 102,115,912 : x
  2. Step 2: Convert to fraction form
    47,285,732/102,115,912 = 102,115,912/x
  3. Step 3: Cross multiply
    47,285,732x = 102,115,912 × 102,115,912
  4. Step 4: Simplify right side
    47,285,732x = 10,427,659,483,591,744
  5. Step 5: Solve for x
    x = 10,427,659,483,591,744/47,285,732
  6. Step 6: Final answer
    x = 220,524,438.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.