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Finding the Third Proportional to 1,839,552,049 and 4,035,245,339

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Solution

The third proportional to 1,839,552,049 and 4,035,245,339 is: 8,851,722,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,552,049 : 4,035,245,339 = 4,035,245,339 : x
  2. Step 2: Convert to fraction form
    1,839,552,049/4,035,245,339 = 4,035,245,339/x
  3. Step 3: Cross multiply
    1,839,552,049x = 4,035,245,339 × 4,035,245,339
  4. Step 4: Simplify right side
    1,839,552,049x = 16,283,204,945,921,224,704
  5. Step 5: Solve for x
    x = 16,283,204,945,921,224,704/1,839,552,049
  6. Step 6: Final answer
    x = 8,851,722,871.76

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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.