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Finding the Third Proportional to 41,836,349 and 90,395,077

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Solution

The third proportional to 41,836,349 and 90,395,077 is: 195,315,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,836,349 : 90,395,077 = 90,395,077 : x
  2. Step 2: Convert to fraction form
    41,836,349/90,395,077 = 90,395,077/x
  3. Step 3: Cross multiply
    41,836,349x = 90,395,077 × 90,395,077
  4. Step 4: Simplify right side
    41,836,349x = 8,171,269,945,835,929
  5. Step 5: Solve for x
    x = 8,171,269,945,835,929/41,836,349
  6. Step 6: Final answer
    x = 195,315,082.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.