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Finding the Third Proportional to 23,286,782,941 and 50,653,651,037

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Solution

The third proportional to 23,286,782,941 and 50,653,651,037 is: 110,182,345,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286,782,941 : 50,653,651,037 = 50,653,651,037 : x
  2. Step 2: Convert to fraction form
    23,286,782,941/50,653,651,037 = 50,653,651,037/x
  3. Step 3: Cross multiply
    23,286,782,941x = 50,653,651,037 × 50,653,651,037
  4. Step 4: Simplify right side
    23,286,782,941x = 2,565,792,363,378,171,183,104
  5. Step 5: Solve for x
    x = 2,565,792,363,378,171,183,104/23,286,782,941
  6. Step 6: Final answer
    x = 110,182,345,490.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.