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Finding the Third Proportional to 5,389,136.50 and 8,139,655.25

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Solution

The third proportional to 5,389,136.50 and 8,139,655.25 is: 12,293,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,136.50 : 8,139,655.25 = 8,139,655.25 : x
  2. Step 2: Convert to fraction form
    5,389,136.50/8,139,655.25 = 8,139,655.25/x
  3. Step 3: Cross multiply
    5,389,136.50x = 8,139,655.25 × 8,139,655.25
  4. Step 4: Simplify right side
    5,389,136.50x = 66,253,987,588,852.56
  5. Step 5: Solve for x
    x = 66,253,987,588,852.56/5,389,136.50
  6. Step 6: Final answer
    x = 12,293,989.51

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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.