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Finding the Third Proportional to 17,767,296 and 38,578,896

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Solution

The third proportional to 17,767,296 and 38,578,896 is: 83,768,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767,296 : 38,578,896 = 38,578,896 : x
  2. Step 2: Convert to fraction form
    17,767,296/38,578,896 = 38,578,896/x
  3. Step 3: Cross multiply
    17,767,296x = 38,578,896 × 38,578,896
  4. Step 4: Simplify right side
    17,767,296x = 1,488,331,216,578,816
  5. Step 5: Solve for x
    x = 1,488,331,216,578,816/17,767,296
  6. Step 6: Final answer
    x = 83,768,020.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.