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Finding the Third Proportional to 5,424,978.80 and 8,264,654.02

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Solution

The third proportional to 5,424,978.80 and 8,264,654.02 is: 12,590,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424,978.80 : 8,264,654.02 = 8,264,654.02 : x
  2. Step 2: Convert to fraction form
    5,424,978.80/8,264,654.02 = 8,264,654.02/x
  3. Step 3: Cross multiply
    5,424,978.80x = 8,264,654.02 × 8,264,654.02
  4. Step 4: Simplify right side
    5,424,978.80x = 68,304,505,997,986.44
  5. Step 5: Solve for x
    x = 68,304,505,997,986.44/5,424,978.80
  6. Step 6: Final answer
    x = 12,590,741.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.