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Finding the Third Proportional to 7,211,940,307 and 15,665,375,188

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Solution

The third proportional to 7,211,940,307 and 15,665,375,188 is: 34,027,455,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211,940,307 : 15,665,375,188 = 15,665,375,188 : x
  2. Step 2: Convert to fraction form
    7,211,940,307/15,665,375,188 = 15,665,375,188/x
  3. Step 3: Cross multiply
    7,211,940,307x = 15,665,375,188 × 15,665,375,188
  4. Step 4: Simplify right side
    7,211,940,307x = 245,403,979,780,806,049,792
  5. Step 5: Solve for x
    x = 245,403,979,780,806,049,792/7,211,940,307
  6. Step 6: Final answer
    x = 34,027,455,765.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.