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Finding the Third Proportional to 344,839,193 and 752,885,314

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Solution

The third proportional to 344,839,193 and 752,885,314 is: 1,643,769,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,839,193 : 752,885,314 = 752,885,314 : x
  2. Step 2: Convert to fraction form
    344,839,193/752,885,314 = 752,885,314/x
  3. Step 3: Cross multiply
    344,839,193x = 752,885,314 × 752,885,314
  4. Step 4: Simplify right side
    344,839,193x = 566,836,296,036,878,592
  5. Step 5: Solve for x
    x = 566,836,296,036,878,592/344,839,193
  6. Step 6: Final answer
    x = 1,643,769,929.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.