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Finding the Third Proportional to 16,415,449,322 and 33,287,677,696

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Solution

The third proportional to 16,415,449,322 and 33,287,677,696 is: 67,501,623,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415,449,322 : 33,287,677,696 = 33,287,677,696 : x
  2. Step 2: Convert to fraction form
    16,415,449,322/33,287,677,696 = 33,287,677,696/x
  3. Step 3: Cross multiply
    16,415,449,322x = 33,287,677,696 × 33,287,677,696
  4. Step 4: Simplify right side
    16,415,449,322x = 1,108,069,486,392,775,802,880
  5. Step 5: Solve for x
    x = 1,108,069,486,392,775,802,880/16,415,449,322
  6. Step 6: Final answer
    x = 67,501,623,906.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.