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Finding the Third Proportional to 41,224,384 and 89,552,144

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Solution

The third proportional to 41,224,384 and 89,552,144 is: 194,535,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224,384 : 89,552,144 = 89,552,144 : x
  2. Step 2: Convert to fraction form
    41,224,384/89,552,144 = 89,552,144/x
  3. Step 3: Cross multiply
    41,224,384x = 89,552,144 × 89,552,144
  4. Step 4: Simplify right side
    41,224,384x = 8,019,586,494,996,736
  5. Step 5: Solve for x
    x = 8,019,586,494,996,736/41,224,384
  6. Step 6: Final answer
    x = 194,535,023.13

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