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Finding the Third Proportional to 5,439,089.25 and 8,158,633.88

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Solution

The third proportional to 5,439,089.25 and 8,158,633.88 is: 12,237,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439,089.25 : 8,158,633.88 = 8,158,633.88 : x
  2. Step 2: Convert to fraction form
    5,439,089.25/8,158,633.88 = 8,158,633.88/x
  3. Step 3: Cross multiply
    5,439,089.25x = 8,158,633.88 × 8,158,633.88
  4. Step 4: Simplify right side
    5,439,089.25x = 66,563,306,706,297.52
  5. Step 5: Solve for x
    x = 66,563,306,706,297.52/5,439,089.25
  6. Step 6: Final answer
    x = 12,237,950.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.