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Finding the Third Proportional to 20,213,070 and 31,100,301

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Solution

The third proportional to 20,213,070 and 31,100,301 is: 47,851,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,070 : 31,100,301 = 31,100,301 : x
  2. Step 2: Convert to fraction form
    20,213,070/31,100,301 = 31,100,301/x
  3. Step 3: Cross multiply
    20,213,070x = 31,100,301 × 31,100,301
  4. Step 4: Simplify right side
    20,213,070x = 967,228,722,290,601
  5. Step 5: Solve for x
    x = 967,228,722,290,601/20,213,070
  6. Step 6: Final answer
    x = 47,851,648.58

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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.