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Finding the Third Proportional to 22,232,728 and 48,176,177

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Solution

The third proportional to 22,232,728 and 48,176,177 is: 104,393,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232,728 : 48,176,177 = 48,176,177 : x
  2. Step 2: Convert to fraction form
    22,232,728/48,176,177 = 48,176,177/x
  3. Step 3: Cross multiply
    22,232,728x = 48,176,177 × 48,176,177
  4. Step 4: Simplify right side
    22,232,728x = 2,320,944,030,335,329
  5. Step 5: Solve for x
    x = 2,320,944,030,335,329/22,232,728
  6. Step 6: Final answer
    x = 104,393,128.47

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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.