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Finding the Third Proportional to 9,657,828 and 20,467,112

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Solution

The third proportional to 9,657,828 and 20,467,112 is: 43,374,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,828 : 20,467,112 = 20,467,112 : x
  2. Step 2: Convert to fraction form
    9,657,828/20,467,112 = 20,467,112/x
  3. Step 3: Cross multiply
    9,657,828x = 20,467,112 × 20,467,112
  4. Step 4: Simplify right side
    9,657,828x = 418,902,673,620,544
  5. Step 5: Solve for x
    x = 418,902,673,620,544/9,657,828
  6. Step 6: Final answer
    x = 43,374,418.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.