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Finding the Third Proportional to 239,995,026,775 and 346,751,369,404

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Solution

The third proportional to 239,995,026,775 and 346,751,369,404 is: 500,995,848,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,995,026,775 : 346,751,369,404 = 346,751,369,404 : x
  2. Step 2: Convert to fraction form
    239,995,026,775/346,751,369,404 = 346,751,369,404/x
  3. Step 3: Cross multiply
    239,995,026,775x = 346,751,369,404 × 346,751,369,404
  4. Step 4: Simplify right side
    239,995,026,775x = 120,236,512,183,549,266,231,296
  5. Step 5: Solve for x
    x = 120,236,512,183,549,266,231,296/239,995,026,775
  6. Step 6: Final answer
    x = 500,995,848,952.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.