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Finding the Third Proportional to 4,193,948,314 and 6,511,904,286

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Solution

The third proportional to 4,193,948,314 and 6,511,904,286 is: 10,110,972,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,948,314 : 6,511,904,286 = 6,511,904,286 : x
  2. Step 2: Convert to fraction form
    4,193,948,314/6,511,904,286 = 6,511,904,286/x
  3. Step 3: Cross multiply
    4,193,948,314x = 6,511,904,286 × 6,511,904,286
  4. Step 4: Simplify right side
    4,193,948,314x = 42,404,897,430,025,166,848
  5. Step 5: Solve for x
    x = 42,404,897,430,025,166,848/4,193,948,314
  6. Step 6: Final answer
    x = 10,110,972,824.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.