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Finding the Third Proportional to 41,224,176 and 89,551,728

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Solution

The third proportional to 41,224,176 and 89,551,728 is: 194,534,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224,176 : 89,551,728 = 89,551,728 : x
  2. Step 2: Convert to fraction form
    41,224,176/89,551,728 = 89,551,728/x
  3. Step 3: Cross multiply
    41,224,176x = 89,551,728 × 89,551,728
  4. Step 4: Simplify right side
    41,224,176x = 8,019,511,987,785,984
  5. Step 5: Solve for x
    x = 8,019,511,987,785,984/41,224,176
  6. Step 6: Final answer
    x = 194,534,197.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.