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Finding the Third Proportional to 11,135,004 and 23,288,100

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Solution

The third proportional to 11,135,004 and 23,288,100 is: 48,705,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135,004 : 23,288,100 = 23,288,100 : x
  2. Step 2: Convert to fraction form
    11,135,004/23,288,100 = 23,288,100/x
  3. Step 3: Cross multiply
    11,135,004x = 23,288,100 × 23,288,100
  4. Step 4: Simplify right side
    11,135,004x = 542,335,601,610,000
  5. Step 5: Solve for x
    x = 542,335,601,610,000/11,135,004
  6. Step 6: Final answer
    x = 48,705,469.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.