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Finding the Third Proportional to 48,696,962,997 and 104,722,651,474

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Solution

The third proportional to 48,696,962,997 and 104,722,651,474 is: 225,205,701,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696,962,997 : 104,722,651,474 = 104,722,651,474 : x
  2. Step 2: Convert to fraction form
    48,696,962,997/104,722,651,474 = 104,722,651,474/x
  3. Step 3: Cross multiply
    48,696,962,997x = 104,722,651,474 × 104,722,651,474
  4. Step 4: Simplify right side
    48,696,962,997x = 10,966,833,731,744,873,578,496
  5. Step 5: Solve for x
    x = 10,966,833,731,744,873,578,496/48,696,962,997
  6. Step 6: Final answer
    x = 225,205,701,891.93

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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.