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Finding the Third Proportional to 226,741,649,668 and 487,132,490,024

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Solution

The third proportional to 226,741,649,668 and 487,132,490,024 is: 1,046,557,009,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741,649,668 : 487,132,490,024 = 487,132,490,024 : x
  2. Step 2: Convert to fraction form
    226,741,649,668/487,132,490,024 = 487,132,490,024/x
  3. Step 3: Cross multiply
    226,741,649,668x = 487,132,490,024 × 487,132,490,024
  4. Step 4: Simplify right side
    226,741,649,668x = 237,298,062,836,982,446,292,992
  5. Step 5: Solve for x
    x = 237,298,062,836,982,446,292,992/226,741,649,668
  6. Step 6: Final answer
    x = 1,046,557,009,638.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.