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Finding the Third Proportional to 577,404,758 and 1,347,324,305

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Solution

The third proportional to 577,404,758 and 1,347,324,305 is: 3,143,865,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,404,758 : 1,347,324,305 = 1,347,324,305 : x
  2. Step 2: Convert to fraction form
    577,404,758/1,347,324,305 = 1,347,324,305/x
  3. Step 3: Cross multiply
    577,404,758x = 1,347,324,305 × 1,347,324,305
  4. Step 4: Simplify right side
    577,404,758x = 1,815,282,782,843,732,992
  5. Step 5: Solve for x
    x = 1,815,282,782,843,732,992/577,404,758
  6. Step 6: Final answer
    x = 3,143,865,300.20

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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.