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Finding the Third Proportional to 31,410,180 and 66,441,852

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Solution

The third proportional to 31,410,180 and 66,441,852 is: 140,544,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410,180 : 66,441,852 = 66,441,852 : x
  2. Step 2: Convert to fraction form
    31,410,180/66,441,852 = 66,441,852/x
  3. Step 3: Cross multiply
    31,410,180x = 66,441,852 × 66,441,852
  4. Step 4: Simplify right side
    31,410,180x = 4,414,519,697,189,904
  5. Step 5: Solve for x
    x = 4,414,519,697,189,904/31,410,180
  6. Step 6: Final answer
    x = 140,544,234.30

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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.