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Finding the Third Proportional to 9,151,923 and 20,142,438

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Solution

The third proportional to 9,151,923 and 20,142,438 is: 44,331,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151,923 : 20,142,438 = 20,142,438 : x
  2. Step 2: Convert to fraction form
    9,151,923/20,142,438 = 20,142,438/x
  3. Step 3: Cross multiply
    9,151,923x = 20,142,438 × 20,142,438
  4. Step 4: Simplify right side
    9,151,923x = 405,717,808,583,844
  5. Step 5: Solve for x
    x = 405,717,808,583,844/9,151,923
  6. Step 6: Final answer
    x = 44,331,427.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.