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Finding the Third Proportional to 15,578,213.50 and 34,145,723

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Solution

The third proportional to 15,578,213.50 and 34,145,723 is: 74,843,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578,213.50 : 34,145,723 = 34,145,723 : x
  2. Step 2: Convert to fraction form
    15,578,213.50/34,145,723 = 34,145,723/x
  3. Step 3: Cross multiply
    15,578,213.50x = 34,145,723 × 34,145,723
  4. Step 4: Simplify right side
    15,578,213.50x = 1,165,930,399,192,729
  5. Step 5: Solve for x
    x = 1,165,930,399,192,729/15,578,213.50
  6. Step 6: Final answer
    x = 74,843,652.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.