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Finding the Third Proportional to 302,375,642,296 and 647,881,040,690

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Solution

The third proportional to 302,375,642,296 and 647,881,040,690 is: 1,388,173,464,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,375,642,296 : 647,881,040,690 = 647,881,040,690 : x
  2. Step 2: Convert to fraction form
    302,375,642,296/647,881,040,690 = 647,881,040,690/x
  3. Step 3: Cross multiply
    302,375,642,296x = 647,881,040,690 × 647,881,040,690
  4. Step 4: Simplify right side
    302,375,642,296x = 419,749,842,885,557,423,702,016
  5. Step 5: Solve for x
    x = 419,749,842,885,557,423,702,016/302,375,642,296
  6. Step 6: Final answer
    x = 1,388,173,464,298.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.