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Finding the Third Proportional to 397,398,894,612 and 866,722,806,852

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Solution

The third proportional to 397,398,894,612 and 866,722,806,852 is: 1,890,313,320,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,398,894,612 : 866,722,806,852 = 866,722,806,852 : x
  2. Step 2: Convert to fraction form
    397,398,894,612/866,722,806,852 = 866,722,806,852/x
  3. Step 3: Cross multiply
    397,398,894,612x = 866,722,806,852 × 866,722,806,852
  4. Step 4: Simplify right side
    397,398,894,612x = 751,208,423,917,409,231,962,112
  5. Step 5: Solve for x
    x = 751,208,423,917,409,231,962,112/397,398,894,612
  6. Step 6: Final answer
    x = 1,890,313,320,198.97

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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.