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Finding the Third Proportional to 3,443,107,891.50 and 7,364,906,338.50

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Solution

The third proportional to 3,443,107,891.50 and 7,364,906,338.50 is: 15,753,745,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443,107,891.50 : 7,364,906,338.50 = 7,364,906,338.50 : x
  2. Step 2: Convert to fraction form
    3,443,107,891.50/7,364,906,338.50 = 7,364,906,338.50/x
  3. Step 3: Cross multiply
    3,443,107,891.50x = 7,364,906,338.50 × 7,364,906,338.50
  4. Step 4: Simplify right side
    3,443,107,891.50x = 54,241,845,374,877,474,816
  5. Step 5: Solve for x
    x = 54,241,845,374,877,474,816/3,443,107,891.50
  6. Step 6: Final answer
    x = 15,753,745,477.68

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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.