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Finding the Third Proportional to 5,692,059 and 8,743,699

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Solution

The third proportional to 5,692,059 and 8,743,699 is: 13,431,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,059 : 8,743,699 = 8,743,699 : x
  2. Step 2: Convert to fraction form
    5,692,059/8,743,699 = 8,743,699/x
  3. Step 3: Cross multiply
    5,692,059x = 8,743,699 × 8,743,699
  4. Step 4: Simplify right side
    5,692,059x = 76,452,272,202,601
  5. Step 5: Solve for x
    x = 76,452,272,202,601/5,692,059
  6. Step 6: Final answer
    x = 13,431,391.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.