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Finding the Third Proportional to 41,670,774 and 89,741,832

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Solution

The third proportional to 41,670,774 and 89,741,832 is: 193,267,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670,774 : 89,741,832 = 89,741,832 : x
  2. Step 2: Convert to fraction form
    41,670,774/89,741,832 = 89,741,832/x
  3. Step 3: Cross multiply
    41,670,774x = 89,741,832 × 89,741,832
  4. Step 4: Simplify right side
    41,670,774x = 8,053,596,410,716,224
  5. Step 5: Solve for x
    x = 8,053,596,410,716,224/41,670,774
  6. Step 6: Final answer
    x = 193,267,262.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.