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Finding the Third Proportional to 24,858,684,288 and 53,263,142,912

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Solution

The third proportional to 24,858,684,288 and 53,263,142,912 is: 114,123,593,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858,684,288 : 53,263,142,912 = 53,263,142,912 : x
  2. Step 2: Convert to fraction form
    24,858,684,288/53,263,142,912 = 53,263,142,912/x
  3. Step 3: Cross multiply
    24,858,684,288x = 53,263,142,912 × 53,263,142,912
  4. Step 4: Simplify right side
    24,858,684,288x = 2,836,962,392,864,135,839,744
  5. Step 5: Solve for x
    x = 2,836,962,392,864,135,839,744/24,858,684,288
  6. Step 6: Final answer
    x = 114,123,593,992.21

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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.