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Finding the Third Proportional to 7,726,279.50 and 10,493,307

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Solution

The third proportional to 7,726,279.50 and 10,493,307 is: 14,251,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,279.50 : 10,493,307 = 10,493,307 : x
  2. Step 2: Convert to fraction form
    7,726,279.50/10,493,307 = 10,493,307/x
  3. Step 3: Cross multiply
    7,726,279.50x = 10,493,307 × 10,493,307
  4. Step 4: Simplify right side
    7,726,279.50x = 110,109,491,796,249
  5. Step 5: Solve for x
    x = 110,109,491,796,249/7,726,279.50
  6. Step 6: Final answer
    x = 14,251,295.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.