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Finding the Third Proportional to 20,213,214 and 31,100,529

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Solution

The third proportional to 20,213,214 and 31,100,529 is: 47,852,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,214 : 31,100,529 = 31,100,529 : x
  2. Step 2: Convert to fraction form
    20,213,214/31,100,529 = 31,100,529/x
  3. Step 3: Cross multiply
    20,213,214x = 31,100,529 × 31,100,529
  4. Step 4: Simplify right side
    20,213,214x = 967,242,904,079,841
  5. Step 5: Solve for x
    x = 967,242,904,079,841/20,213,214
  6. Step 6: Final answer
    x = 47,852,009.29

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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.