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Finding the Third Proportional to 20,133,824 and 30,202,923

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Solution

The third proportional to 20,133,824 and 30,202,923 is: 45,307,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133,824 : 30,202,923 = 30,202,923 : x
  2. Step 2: Convert to fraction form
    20,133,824/30,202,923 = 30,202,923/x
  3. Step 3: Cross multiply
    20,133,824x = 30,202,923 × 30,202,923
  4. Step 4: Simplify right side
    20,133,824x = 912,216,557,743,929
  5. Step 5: Solve for x
    x = 912,216,557,743,929/20,133,824
  6. Step 6: Final answer
    x = 45,307,665.24

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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.