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Finding the Third Proportional to 7,234,247,862 and 15,515,219,214

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Solution

The third proportional to 7,234,247,862 and 15,515,219,214 is: 33,275,335,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,247,862 : 15,515,219,214 = 15,515,219,214 : x
  2. Step 2: Convert to fraction form
    7,234,247,862/15,515,219,214 = 15,515,219,214/x
  3. Step 3: Cross multiply
    7,234,247,862x = 15,515,219,214 × 15,515,219,214
  4. Step 4: Simplify right side
    7,234,247,862x = 240,722,027,258,474,790,912
  5. Step 5: Solve for x
    x = 240,722,027,258,474,790,912/7,234,247,862
  6. Step 6: Final answer
    x = 33,275,335,853.91

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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.