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Finding the Third Proportional to 8,269,090.50 and 13,275,399

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Solution

The third proportional to 8,269,090.50 and 13,275,399 is: 21,312,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,090.50 : 13,275,399 = 13,275,399 : x
  2. Step 2: Convert to fraction form
    8,269,090.50/13,275,399 = 13,275,399/x
  3. Step 3: Cross multiply
    8,269,090.50x = 13,275,399 × 13,275,399
  4. Step 4: Simplify right side
    8,269,090.50x = 176,236,218,609,201
  5. Step 5: Solve for x
    x = 176,236,218,609,201/8,269,090.50
  6. Step 6: Final answer
    x = 21,312,648.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.