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Finding the Third Proportional to 4,474,338,957 and 6,730,188,799

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Solution

The third proportional to 4,474,338,957 and 6,730,188,799 is: 10,123,381,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474,338,957 : 6,730,188,799 = 6,730,188,799 : x
  2. Step 2: Convert to fraction form
    4,474,338,957/6,730,188,799 = 6,730,188,799/x
  3. Step 3: Cross multiply
    4,474,338,957x = 6,730,188,799 × 6,730,188,799
  4. Step 4: Simplify right side
    4,474,338,957x = 45,295,441,270,185,066,496
  5. Step 5: Solve for x
    x = 45,295,441,270,185,066,496/4,474,338,957
  6. Step 6: Final answer
    x = 10,123,381,734.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.