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Finding the Third Proportional to 20,211,219 and 31,066,422

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Solution

The third proportional to 20,211,219 and 31,066,422 is: 47,751,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211,219 : 31,066,422 = 31,066,422 : x
  2. Step 2: Convert to fraction form
    20,211,219/31,066,422 = 31,066,422/x
  3. Step 3: Cross multiply
    20,211,219x = 31,066,422 × 31,066,422
  4. Step 4: Simplify right side
    20,211,219x = 965,122,575,882,084
  5. Step 5: Solve for x
    x = 965,122,575,882,084/20,211,219
  6. Step 6: Final answer
    x = 47,751,824.17

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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.