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Finding the Third Proportional to 491,224,026 and 1,065,330,016

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Solution

The third proportional to 491,224,026 and 1,065,330,016 is: 2,310,408,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,224,026 : 1,065,330,016 = 1,065,330,016 : x
  2. Step 2: Convert to fraction form
    491,224,026/1,065,330,016 = 1,065,330,016/x
  3. Step 3: Cross multiply
    491,224,026x = 1,065,330,016 × 1,065,330,016
  4. Step 4: Simplify right side
    491,224,026x = 1,134,928,042,990,560,256
  5. Step 5: Solve for x
    x = 1,134,928,042,990,560,256/491,224,026
  6. Step 6: Final answer
    x = 2,310,408,251.47

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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.