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Finding the Third Proportional to 11,431,456 and 24,434,976

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Solution

The third proportional to 11,431,456 and 24,434,976 is: 52,230,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,456 : 24,434,976 = 24,434,976 : x
  2. Step 2: Convert to fraction form
    11,431,456/24,434,976 = 24,434,976/x
  3. Step 3: Cross multiply
    11,431,456x = 24,434,976 × 24,434,976
  4. Step 4: Simplify right side
    11,431,456x = 597,068,052,120,576
  5. Step 5: Solve for x
    x = 597,068,052,120,576/11,431,456
  6. Step 6: Final answer
    x = 52,230,271.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.