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Finding the Third Proportional to 226,077,760 and 486,797,012

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Solution

The third proportional to 226,077,760 and 486,797,012 is: 1,048,185,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,077,760 : 486,797,012 = 486,797,012 : x
  2. Step 2: Convert to fraction form
    226,077,760/486,797,012 = 486,797,012/x
  3. Step 3: Cross multiply
    226,077,760x = 486,797,012 × 486,797,012
  4. Step 4: Simplify right side
    226,077,760x = 236,971,330,892,128,128
  5. Step 5: Solve for x
    x = 236,971,330,892,128,128/226,077,760
  6. Step 6: Final answer
    x = 1,048,185,062.04

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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.