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Finding the Third Proportional to 577,404,578 and 1,347,323,909

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Solution

The third proportional to 577,404,578 and 1,347,323,909 is: 3,143,864,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,404,578 : 1,347,323,909 = 1,347,323,909 : x
  2. Step 2: Convert to fraction form
    577,404,578/1,347,323,909 = 1,347,323,909/x
  3. Step 3: Cross multiply
    577,404,578x = 1,347,323,909 × 1,347,323,909
  4. Step 4: Simplify right side
    577,404,578x = 1,815,281,715,763,040,256
  5. Step 5: Solve for x
    x = 1,815,281,715,763,040,256/577,404,578
  6. Step 6: Final answer
    x = 3,143,864,432.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.