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Finding the Third Proportional to 9,691,761 and 15,004,974

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Solution

The third proportional to 9,691,761 and 15,004,974 is: 23,230,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,761 : 15,004,974 = 15,004,974 : x
  2. Step 2: Convert to fraction form
    9,691,761/15,004,974 = 15,004,974/x
  3. Step 3: Cross multiply
    9,691,761x = 15,004,974 × 15,004,974
  4. Step 4: Simplify right side
    9,691,761x = 225,149,244,740,676
  5. Step 5: Solve for x
    x = 225,149,244,740,676/9,691,761
  6. Step 6: Final answer
    x = 23,230,994.32

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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.