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Finding the Third Proportional to 54,085,792 and 127,548,193

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Solution

The third proportional to 54,085,792 and 127,548,193 is: 300,791,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,085,792 : 127,548,193 = 127,548,193 : x
  2. Step 2: Convert to fraction form
    54,085,792/127,548,193 = 127,548,193/x
  3. Step 3: Cross multiply
    54,085,792x = 127,548,193 × 127,548,193
  4. Step 4: Simplify right side
    54,085,792x = 16,268,541,537,565,248
  5. Step 5: Solve for x
    x = 16,268,541,537,565,248/54,085,792
  6. Step 6: Final answer
    x = 300,791,408.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.