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Finding the Third Proportional to 354,638,608,326 and 529,633,996,874

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Solution

The third proportional to 354,638,608,326 and 529,633,996,874 is: 790,980,350,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,326 : 529,633,996,874 = 529,633,996,874 : x
  2. Step 2: Convert to fraction form
    354,638,608,326/529,633,996,874 = 529,633,996,874/x
  3. Step 3: Cross multiply
    354,638,608,326x = 529,633,996,874 × 529,633,996,874
  4. Step 4: Simplify right side
    354,638,608,326x = 280,512,170,644,728,230,969,344
  5. Step 5: Solve for x
    x = 280,512,170,644,728,230,969,344/354,638,608,326
  6. Step 6: Final answer
    x = 790,980,350,303.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.