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Finding the Third Proportional to 10,308,077 and 20,355,962

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Solution

The third proportional to 10,308,077 and 20,355,962 is: 40,198,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308,077 : 20,355,962 = 20,355,962 : x
  2. Step 2: Convert to fraction form
    10,308,077/20,355,962 = 20,355,962/x
  3. Step 3: Cross multiply
    10,308,077x = 20,355,962 × 20,355,962
  4. Step 4: Simplify right side
    10,308,077x = 414,365,188,945,444
  5. Step 5: Solve for x
    x = 414,365,188,945,444/10,308,077
  6. Step 6: Final answer
    x = 40,198,107.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.