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Finding the Third Proportional to 117,373,262,813 and 254,236,493,764

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Solution

The third proportional to 117,373,262,813 and 254,236,493,764 is: 550,689,255,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,373,262,813 : 254,236,493,764 = 254,236,493,764 : x
  2. Step 2: Convert to fraction form
    117,373,262,813/254,236,493,764 = 254,236,493,764/x
  3. Step 3: Cross multiply
    117,373,262,813x = 254,236,493,764 × 254,236,493,764
  4. Step 4: Simplify right side
    117,373,262,813x = 64,636,194,761,412,408,508,416
  5. Step 5: Solve for x
    x = 64,636,194,761,412,408,508,416/117,373,262,813
  6. Step 6: Final answer
    x = 550,689,255,903.12

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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.