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Finding the Third Proportional to 20,213,074 and 31,100,308

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Solution

The third proportional to 20,213,074 and 31,100,308 is: 47,851,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,074 : 31,100,308 = 31,100,308 : x
  2. Step 2: Convert to fraction form
    20,213,074/31,100,308 = 31,100,308/x
  3. Step 3: Cross multiply
    20,213,074x = 31,100,308 × 31,100,308
  4. Step 4: Simplify right side
    20,213,074x = 967,229,157,694,864
  5. Step 5: Solve for x
    x = 967,229,157,694,864/20,213,074
  6. Step 6: Final answer
    x = 47,851,660.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.