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Finding the Third Proportional to 324,846,614 and 701,468,145

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Solution

The third proportional to 324,846,614 and 701,468,145 is: 1,514,738,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,846,614 : 701,468,145 = 701,468,145 : x
  2. Step 2: Convert to fraction form
    324,846,614/701,468,145 = 701,468,145/x
  3. Step 3: Cross multiply
    324,846,614x = 701,468,145 × 701,468,145
  4. Step 4: Simplify right side
    324,846,614x = 492,057,558,449,741,056
  5. Step 5: Solve for x
    x = 492,057,558,449,741,056/324,846,614
  6. Step 6: Final answer
    x = 1,514,738,147.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.