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Finding the Third Proportional to 4,597,398 and 9,755,174.25

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Solution

The third proportional to 4,597,398 and 9,755,174.25 is: 20,699,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,398 : 9,755,174.25 = 9,755,174.25 : x
  2. Step 2: Convert to fraction form
    4,597,398/9,755,174.25 = 9,755,174.25/x
  3. Step 3: Cross multiply
    4,597,398x = 9,755,174.25 × 9,755,174.25
  4. Step 4: Simplify right side
    4,597,398x = 95,163,424,647,863.06
  5. Step 5: Solve for x
    x = 95,163,424,647,863.06/4,597,398
  6. Step 6: Final answer
    x = 20,699,409.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.