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Finding the Third Proportional to 17,764,824 and 38,224,032

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Solution

The third proportional to 17,764,824 and 38,224,032 is: 82,245,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764,824 : 38,224,032 = 38,224,032 : x
  2. Step 2: Convert to fraction form
    17,764,824/38,224,032 = 38,224,032/x
  3. Step 3: Cross multiply
    17,764,824x = 38,224,032 × 38,224,032
  4. Step 4: Simplify right side
    17,764,824x = 1,461,076,622,337,024
  5. Step 5: Solve for x
    x = 1,461,076,622,337,024/17,764,824
  6. Step 6: Final answer
    x = 82,245,488.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.