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Finding the Third Proportional to 6,497,766,993.50 and 14,241,198,494

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Solution

The third proportional to 6,497,766,993.50 and 14,241,198,494 is: 31,212,528,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,766,993.50 : 14,241,198,494 = 14,241,198,494 : x
  2. Step 2: Convert to fraction form
    6,497,766,993.50/14,241,198,494 = 14,241,198,494/x
  3. Step 3: Cross multiply
    6,497,766,993.50x = 14,241,198,494 × 14,241,198,494
  4. Step 4: Simplify right side
    6,497,766,993.50x = 202,811,734,545,507,876,864
  5. Step 5: Solve for x
    x = 202,811,734,545,507,876,864/6,497,766,993.50
  6. Step 6: Final answer
    x = 31,212,528,049.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.