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Finding the Third Proportional to 20,320,768 and 27,597,824

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Solution

The third proportional to 20,320,768 and 27,597,824 is: 37,480,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320,768 : 27,597,824 = 27,597,824 : x
  2. Step 2: Convert to fraction form
    20,320,768/27,597,824 = 27,597,824/x
  3. Step 3: Cross multiply
    20,320,768x = 27,597,824 × 27,597,824
  4. Step 4: Simplify right side
    20,320,768x = 761,639,889,534,976
  5. Step 5: Solve for x
    x = 761,639,889,534,976/20,320,768
  6. Step 6: Final answer
    x = 37,480,861.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.