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Finding the Third Proportional to 11,932,378,488 and 16,591,022,748

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Solution

The third proportional to 11,932,378,488 and 16,591,022,748 is: 23,068,496,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932,378,488 : 16,591,022,748 = 16,591,022,748 : x
  2. Step 2: Convert to fraction form
    11,932,378,488/16,591,022,748 = 16,591,022,748/x
  3. Step 3: Cross multiply
    11,932,378,488x = 16,591,022,748 × 16,591,022,748
  4. Step 4: Simplify right side
    11,932,378,488x = 275,262,035,824,653,467,648
  5. Step 5: Solve for x
    x = 275,262,035,824,653,467,648/11,932,378,488
  6. Step 6: Final answer
    x = 23,068,496,871.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.