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Finding the Third Proportional to 4,932,731,711 and 11,640,364,097

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Solution

The third proportional to 4,932,731,711 and 11,640,364,097 is: 27,469,176,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932,731,711 : 11,640,364,097 = 11,640,364,097 : x
  2. Step 2: Convert to fraction form
    4,932,731,711/11,640,364,097 = 11,640,364,097/x
  3. Step 3: Cross multiply
    4,932,731,711x = 11,640,364,097 × 11,640,364,097
  4. Step 4: Simplify right side
    4,932,731,711x = 135,498,076,310,726,623,232
  5. Step 5: Solve for x
    x = 135,498,076,310,726,623,232/4,932,731,711
  6. Step 6: Final answer
    x = 27,469,176,158.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.