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Finding the Third Proportional to 51,777,216 and 80,393,992

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Solution

The third proportional to 51,777,216 and 80,393,992 is: 124,826,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777,216 : 80,393,992 = 80,393,992 : x
  2. Step 2: Convert to fraction form
    51,777,216/80,393,992 = 80,393,992/x
  3. Step 3: Cross multiply
    51,777,216x = 80,393,992 × 80,393,992
  4. Step 4: Simplify right side
    51,777,216x = 6,463,193,949,696,064
  5. Step 5: Solve for x
    x = 6,463,193,949,696,064/51,777,216
  6. Step 6: Final answer
    x = 124,826,988.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.