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Finding the Third Proportional to 325,011,204 and 703,033,830

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Solution

The third proportional to 325,011,204 and 703,033,830 is: 1,520,737,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,011,204 : 703,033,830 = 703,033,830 : x
  2. Step 2: Convert to fraction form
    325,011,204/703,033,830 = 703,033,830/x
  3. Step 3: Cross multiply
    325,011,204x = 703,033,830 × 703,033,830
  4. Step 4: Simplify right side
    325,011,204x = 494,256,566,124,468,928
  5. Step 5: Solve for x
    x = 494,256,566,124,468,928/325,011,204
  6. Step 6: Final answer
    x = 1,520,737,008.58

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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.