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Finding the Third Proportional to 9,965,318,606 and 14,015,553,860

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Solution

The third proportional to 9,965,318,606 and 14,015,553,860 is: 19,711,938,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965,318,606 : 14,015,553,860 = 14,015,553,860 : x
  2. Step 2: Convert to fraction form
    9,965,318,606/14,015,553,860 = 14,015,553,860/x
  3. Step 3: Cross multiply
    9,965,318,606x = 14,015,553,860 × 14,015,553,860
  4. Step 4: Simplify right side
    9,965,318,606x = 196,435,750,002,560,892,928
  5. Step 5: Solve for x
    x = 196,435,750,002,560,892,928/9,965,318,606
  6. Step 6: Final answer
    x = 19,711,938,751.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.