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Finding the Third Proportional to 31,836,929,114 and 68,146,190,138

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Solution

The third proportional to 31,836,929,114 and 68,146,190,138 is: 145,865,300,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836,929,114 : 68,146,190,138 = 68,146,190,138 : x
  2. Step 2: Convert to fraction form
    31,836,929,114/68,146,190,138 = 68,146,190,138/x
  3. Step 3: Cross multiply
    31,836,929,114x = 68,146,190,138 × 68,146,190,138
  4. Step 4: Simplify right side
    31,836,929,114x = 4,643,903,230,324,448,428,032
  5. Step 5: Solve for x
    x = 4,643,903,230,324,448,428,032/31,836,929,114
  6. Step 6: Final answer
    x = 145,865,300,440.75

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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.