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Finding the Third Proportional to 7,589,984.50 and 16,264,721

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Solution

The third proportional to 7,589,984.50 and 16,264,721 is: 34,853,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,984.50 : 16,264,721 = 16,264,721 : x
  2. Step 2: Convert to fraction form
    7,589,984.50/16,264,721 = 16,264,721/x
  3. Step 3: Cross multiply
    7,589,984.50x = 16,264,721 × 16,264,721
  4. Step 4: Simplify right side
    7,589,984.50x = 264,541,149,207,841
  5. Step 5: Solve for x
    x = 264,541,149,207,841/7,589,984.50
  6. Step 6: Final answer
    x = 34,853,977.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.