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Finding the Third Proportional to 5,701,756 and 11,496,824

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Solution

The third proportional to 5,701,756 and 11,496,824 is: 23,181,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701,756 : 11,496,824 = 11,496,824 : x
  2. Step 2: Convert to fraction form
    5,701,756/11,496,824 = 11,496,824/x
  3. Step 3: Cross multiply
    5,701,756x = 11,496,824 × 11,496,824
  4. Step 4: Simplify right side
    5,701,756x = 132,176,962,086,976
  5. Step 5: Solve for x
    x = 132,176,962,086,976/5,701,756
  6. Step 6: Final answer
    x = 23,181,799.10

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.