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Finding the Third Proportional to 344,839,191 and 752,885,310

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Solution

The third proportional to 344,839,191 and 752,885,310 is: 1,643,769,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,839,191 : 752,885,310 = 752,885,310 : x
  2. Step 2: Convert to fraction form
    344,839,191/752,885,310 = 752,885,310/x
  3. Step 3: Cross multiply
    344,839,191x = 752,885,310 × 752,885,310
  4. Step 4: Simplify right side
    344,839,191x = 566,836,290,013,796,096
  5. Step 5: Solve for x
    x = 566,836,290,013,796,096/344,839,191
  6. Step 6: Final answer
    x = 1,643,769,921.77

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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.