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Finding the Third Proportional to 22,741,240 and 49,466,971

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Solution

The third proportional to 22,741,240 and 49,466,971 is: 107,601,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741,240 : 49,466,971 = 49,466,971 : x
  2. Step 2: Convert to fraction form
    22,741,240/49,466,971 = 49,466,971/x
  3. Step 3: Cross multiply
    22,741,240x = 49,466,971 × 49,466,971
  4. Step 4: Simplify right side
    22,741,240x = 2,446,981,219,914,841
  5. Step 5: Solve for x
    x = 2,446,981,219,914,841/22,741,240
  6. Step 6: Final answer
    x = 107,601,046.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.