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Finding the Third Proportional to 55,678,760 and 122,663,824

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Solution

The third proportional to 55,678,760 and 122,663,824 is: 270,236,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,678,760 : 122,663,824 = 122,663,824 : x
  2. Step 2: Convert to fraction form
    55,678,760/122,663,824 = 122,663,824/x
  3. Step 3: Cross multiply
    55,678,760x = 122,663,824 × 122,663,824
  4. Step 4: Simplify right side
    55,678,760x = 15,046,413,718,302,976
  5. Step 5: Solve for x
    x = 15,046,413,718,302,976/55,678,760
  6. Step 6: Final answer
    x = 270,236,149.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.