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Finding the Third Proportional to 54,077,392 and 120,245,472

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Solution

The third proportional to 54,077,392 and 120,245,472 is: 267,375,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,077,392 : 120,245,472 = 120,245,472 : x
  2. Step 2: Convert to fraction form
    54,077,392/120,245,472 = 120,245,472/x
  3. Step 3: Cross multiply
    54,077,392x = 120,245,472 × 120,245,472
  4. Step 4: Simplify right side
    54,077,392x = 14,458,973,536,502,784
  5. Step 5: Solve for x
    x = 14,458,973,536,502,784/54,077,392
  6. Step 6: Final answer
    x = 267,375,570.49

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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.