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Finding the Third Proportional to 23,365,085,052 and 50,273,022,138

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Solution

The third proportional to 23,365,085,052 and 50,273,022,138 is: 108,168,951,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,365,085,052 : 50,273,022,138 = 50,273,022,138 : x
  2. Step 2: Convert to fraction form
    23,365,085,052/50,273,022,138 = 50,273,022,138/x
  3. Step 3: Cross multiply
    23,365,085,052x = 50,273,022,138 × 50,273,022,138
  4. Step 4: Simplify right side
    23,365,085,052x = 2,527,376,754,887,838,138,368
  5. Step 5: Solve for x
    x = 2,527,376,754,887,838,138,368/23,365,085,052
  6. Step 6: Final answer
    x = 108,168,951,632.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.