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Finding the Third Proportional to 15,534,914,694 and 33,494,665,495.50

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Solution

The third proportional to 15,534,914,694 and 33,494,665,495.50 is: 72,217,494,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534,914,694 : 33,494,665,495.50 = 33,494,665,495.50 : x
  2. Step 2: Convert to fraction form
    15,534,914,694/33,494,665,495.50 = 33,494,665,495.50/x
  3. Step 3: Cross multiply
    15,534,914,694x = 33,494,665,495.50 × 33,494,665,495.50
  4. Step 4: Simplify right side
    15,534,914,694x = 1,121,892,616,655,438,217,216
  5. Step 5: Solve for x
    x = 1,121,892,616,655,438,217,216/15,534,914,694
  6. Step 6: Final answer
    x = 72,217,494,511.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.