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Finding the Third Proportional to 31,836,929,336 and 68,146,190,582

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Solution

The third proportional to 31,836,929,336 and 68,146,190,582 is: 145,865,301,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836,929,336 : 68,146,190,582 = 68,146,190,582 : x
  2. Step 2: Convert to fraction form
    31,836,929,336/68,146,190,582 = 68,146,190,582/x
  3. Step 3: Cross multiply
    31,836,929,336x = 68,146,190,582 × 68,146,190,582
  4. Step 4: Simplify right side
    31,836,929,336x = 4,643,903,290,838,265,364,480
  5. Step 5: Solve for x
    x = 4,643,903,290,838,265,364,480/31,836,929,336
  6. Step 6: Final answer
    x = 145,865,301,324.37

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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.