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Finding the Third Proportional to 20,211,166 and 31,066,343

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Solution

The third proportional to 20,211,166 and 31,066,343 is: 47,751,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211,166 : 31,066,343 = 31,066,343 : x
  2. Step 2: Convert to fraction form
    20,211,166/31,066,343 = 31,066,343/x
  3. Step 3: Cross multiply
    20,211,166x = 31,066,343 × 31,066,343
  4. Step 4: Simplify right side
    20,211,166x = 965,117,667,393,649
  5. Step 5: Solve for x
    x = 965,117,667,393,649/20,211,166
  6. Step 6: Final answer
    x = 47,751,706.53

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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.