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Finding the Third Proportional to 70,751,734 and 152,327,660

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Solution

The third proportional to 70,751,734 and 152,327,660 is: 327,959,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,751,734 : 152,327,660 = 152,327,660 : x
  2. Step 2: Convert to fraction form
    70,751,734/152,327,660 = 152,327,660/x
  3. Step 3: Cross multiply
    70,751,734x = 152,327,660 × 152,327,660
  4. Step 4: Simplify right side
    70,751,734x = 23,203,716,001,075,600
  5. Step 5: Solve for x
    x = 23,203,716,001,075,600/70,751,734
  6. Step 6: Final answer
    x = 327,959,679.42

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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.