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Finding the Third Proportional to 344,839,189 and 752,885,306

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Solution

The third proportional to 344,839,189 and 752,885,306 is: 1,643,769,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,839,189 : 752,885,306 = 752,885,306 : x
  2. Step 2: Convert to fraction form
    344,839,189/752,885,306 = 752,885,306/x
  3. Step 3: Cross multiply
    344,839,189x = 752,885,306 × 752,885,306
  4. Step 4: Simplify right side
    344,839,189x = 566,836,283,990,713,664
  5. Step 5: Solve for x
    x = 566,836,283,990,713,664/344,839,189
  6. Step 6: Final answer
    x = 1,643,769,913.84

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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.