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Finding the Third Proportional to 8,132,083.50 and 11,926,516.50

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Solution

The third proportional to 8,132,083.50 and 11,926,516.50 is: 17,491,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132,083.50 : 11,926,516.50 = 11,926,516.50 : x
  2. Step 2: Convert to fraction form
    8,132,083.50/11,926,516.50 = 11,926,516.50/x
  3. Step 3: Cross multiply
    8,132,083.50x = 11,926,516.50 × 11,926,516.50
  4. Step 4: Simplify right side
    8,132,083.50x = 142,241,795,824,772.25
  5. Step 5: Solve for x
    x = 142,241,795,824,772.25/8,132,083.50
  6. Step 6: Final answer
    x = 17,491,433.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.