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Finding the Third Proportional to 54,538,320 and 121,183,376

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Solution

The third proportional to 54,538,320 and 121,183,376 is: 269,267,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538,320 : 121,183,376 = 121,183,376 : x
  2. Step 2: Convert to fraction form
    54,538,320/121,183,376 = 121,183,376/x
  3. Step 3: Cross multiply
    54,538,320x = 121,183,376 × 121,183,376
  4. Step 4: Simplify right side
    54,538,320x = 14,685,410,618,757,376
  5. Step 5: Solve for x
    x = 14,685,410,618,757,376/54,538,320
  6. Step 6: Final answer
    x = 269,267,748.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.