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Finding the Third Proportional to 117,373,262,810 and 254,236,493,756

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Solution

The third proportional to 117,373,262,810 and 254,236,493,756 is: 550,689,255,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,373,262,810 : 254,236,493,756 = 254,236,493,756 : x
  2. Step 2: Convert to fraction form
    117,373,262,810/254,236,493,756 = 254,236,493,756/x
  3. Step 3: Cross multiply
    117,373,262,810x = 254,236,493,756 × 254,236,493,756
  4. Step 4: Simplify right side
    117,373,262,810x = 64,636,194,757,344,629,882,880
  5. Step 5: Solve for x
    x = 64,636,194,757,344,629,882,880/117,373,262,810
  6. Step 6: Final answer
    x = 550,689,255,882.54

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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.