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Finding the Third Proportional to 497,236,170.66 and 1,082,751,760.69

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Solution

The third proportional to 497,236,170.66 and 1,082,751,760.69 is: 2,357,735,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,236,170.66 : 1,082,751,760.69 = 1,082,751,760.69 : x
  2. Step 2: Convert to fraction form
    497,236,170.66/1,082,751,760.69 = 1,082,751,760.69/x
  3. Step 3: Cross multiply
    497,236,170.66x = 1,082,751,760.69 × 1,082,751,760.69
  4. Step 4: Simplify right side
    497,236,170.66x = 1,172,351,375,271,881,216
  5. Step 5: Solve for x
    x = 1,172,351,375,271,881,216/497,236,170.66
  6. Step 6: Final answer
    x = 2,357,735,507.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.