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Finding the Third Proportional to 13,329,160,992 and 27,761,568,768

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Solution

The third proportional to 13,329,160,992 and 27,761,568,768 is: 57,820,946,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329,160,992 : 27,761,568,768 = 27,761,568,768 : x
  2. Step 2: Convert to fraction form
    13,329,160,992/27,761,568,768 = 27,761,568,768/x
  3. Step 3: Cross multiply
    13,329,160,992x = 27,761,568,768 × 27,761,568,768
  4. Step 4: Simplify right side
    13,329,160,992x = 770,704,700,460,393,037,824
  5. Step 5: Solve for x
    x = 770,704,700,460,393,037,824/13,329,160,992
  6. Step 6: Final answer
    x = 57,820,946,188.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.