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Finding the Third Proportional to 70,751,736 and 152,327,664

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Solution

The third proportional to 70,751,736 and 152,327,664 is: 327,959,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,751,736 : 152,327,664 = 152,327,664 : x
  2. Step 2: Convert to fraction form
    70,751,736/152,327,664 = 152,327,664/x
  3. Step 3: Cross multiply
    70,751,736x = 152,327,664 × 152,327,664
  4. Step 4: Simplify right side
    70,751,736x = 23,203,717,219,696,896
  5. Step 5: Solve for x
    x = 23,203,717,219,696,896/70,751,736
  6. Step 6: Final answer
    x = 327,959,687.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.