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Finding the Third Proportional to 8,739,827.25 and 13,231,122.75

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Solution

The third proportional to 8,739,827.25 and 13,231,122.75 is: 20,030,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739,827.25 : 13,231,122.75 = 13,231,122.75 : x
  2. Step 2: Convert to fraction form
    8,739,827.25/13,231,122.75 = 13,231,122.75/x
  3. Step 3: Cross multiply
    8,739,827.25x = 13,231,122.75 × 13,231,122.75
  4. Step 4: Simplify right side
    8,739,827.25x = 175,062,609,225,567.56
  5. Step 5: Solve for x
    x = 175,062,609,225,567.56/8,739,827.25
  6. Step 6: Final answer
    x = 20,030,442.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.