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Finding the Third Proportional to 20,947,971 and 32,511,267

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Solution

The third proportional to 20,947,971 and 32,511,267 is: 50,457,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,947,971 : 32,511,267 = 32,511,267 : x
  2. Step 2: Convert to fraction form
    20,947,971/32,511,267 = 32,511,267/x
  3. Step 3: Cross multiply
    20,947,971x = 32,511,267 × 32,511,267
  4. Step 4: Simplify right side
    20,947,971x = 1,056,982,481,945,289
  5. Step 5: Solve for x
    x = 1,056,982,481,945,289/20,947,971
  6. Step 6: Final answer
    x = 50,457,511.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.