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Finding the Third Proportional to 20,964,096 and 31,446,144

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Solution

The third proportional to 20,964,096 and 31,446,144 is: 47,169,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964,096 : 31,446,144 = 31,446,144 : x
  2. Step 2: Convert to fraction form
    20,964,096/31,446,144 = 31,446,144/x
  3. Step 3: Cross multiply
    20,964,096x = 31,446,144 × 31,446,144
  4. Step 4: Simplify right side
    20,964,096x = 988,859,972,468,736
  5. Step 5: Solve for x
    x = 988,859,972,468,736/20,964,096
  6. Step 6: Final answer
    x = 47,169,216

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.