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Finding the Third Proportional to 22,728,024 and 49,707,600

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Solution

The third proportional to 22,728,024 and 49,707,600 is: 108,713,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728,024 : 49,707,600 = 49,707,600 : x
  2. Step 2: Convert to fraction form
    22,728,024/49,707,600 = 49,707,600/x
  3. Step 3: Cross multiply
    22,728,024x = 49,707,600 × 49,707,600
  4. Step 4: Simplify right side
    22,728,024x = 2,470,845,497,760,000
  5. Step 5: Solve for x
    x = 2,470,845,497,760,000/22,728,024
  6. Step 6: Final answer
    x = 108,713,608.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.