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Finding the Third Proportional to 24,858,684,443 and 53,263,143,238.50

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Solution

The third proportional to 24,858,684,443 and 53,263,143,238.50 is: 114,123,594,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858,684,443 : 53,263,143,238.50 = 53,263,143,238.50 : x
  2. Step 2: Convert to fraction form
    24,858,684,443/53,263,143,238.50 = 53,263,143,238.50/x
  3. Step 3: Cross multiply
    24,858,684,443x = 53,263,143,238.50 × 53,263,143,238.50
  4. Step 4: Simplify right side
    24,858,684,443x = 2,836,962,427,644,968,173,568
  5. Step 5: Solve for x
    x = 2,836,962,427,644,968,173,568/24,858,684,443
  6. Step 6: Final answer
    x = 114,123,594,679.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.