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Finding the Third Proportional to 7,544,095.50 and 15,436,815

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Solution

The third proportional to 7,544,095.50 and 15,436,815 is: 31,586,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,095.50 : 15,436,815 = 15,436,815 : x
  2. Step 2: Convert to fraction form
    7,544,095.50/15,436,815 = 15,436,815/x
  3. Step 3: Cross multiply
    7,544,095.50x = 15,436,815 × 15,436,815
  4. Step 4: Simplify right side
    7,544,095.50x = 238,295,257,344,225
  5. Step 5: Solve for x
    x = 238,295,257,344,225/7,544,095.50
  6. Step 6: Final answer
    x = 31,586,988.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.