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Finding the Third Proportional to 331,267,725 and 717,743,743.88

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Solution

The third proportional to 331,267,725 and 717,743,743.88 is: 1,555,104,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,267,725 : 717,743,743.88 = 717,743,743.88 : x
  2. Step 2: Convert to fraction form
    331,267,725/717,743,743.88 = 717,743,743.88/x
  3. Step 3: Cross multiply
    331,267,725x = 717,743,743.88 × 717,743,743.88
  4. Step 4: Simplify right side
    331,267,725x = 515,156,081,871,701,632
  5. Step 5: Solve for x
    x = 515,156,081,871,701,632/331,267,725
  6. Step 6: Final answer
    x = 1,555,104,958.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.