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Finding the Third Proportional to 40,239,560,932,218 and 87,529,509,012,276

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Solution

The third proportional to 40,239,560,932,218 and 87,529,509,012,276 is: 190,395,093,048,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,239,560,932,218 : 87,529,509,012,276 = 87,529,509,012,276 : x
  2. Step 2: Convert to fraction form
    40,239,560,932,218/87,529,509,012,276 = 87,529,509,012,276/x
  3. Step 3: Cross multiply
    40,239,560,932,218x = 87,529,509,012,276 × 87,529,509,012,276
  4. Step 4: Simplify right side
    40,239,560,932,218x = 7,661,414,947,930,105,691,028,586,496
  5. Step 5: Solve for x
    x = 7,661,414,947,930,105,691,028,586,496/40,239,560,932,218
  6. Step 6: Final answer
    x = 190,395,093,048,740.41

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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.