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Finding the Third Proportional to 679,187,809,226 and 1,453,785,365,524

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Solution

The third proportional to 679,187,809,226 and 1,453,785,365,524 is: 3,111,793,027,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,187,809,226 : 1,453,785,365,524 = 1,453,785,365,524 : x
  2. Step 2: Convert to fraction form
    679,187,809,226/1,453,785,365,524 = 1,453,785,365,524/x
  3. Step 3: Cross multiply
    679,187,809,226x = 1,453,785,365,524 × 1,453,785,365,524
  4. Step 4: Simplify right side
    679,187,809,226x = 2,113,491,889,011,750,346,948,608
  5. Step 5: Solve for x
    x = 2,113,491,889,011,750,346,948,608/679,187,809,226
  6. Step 6: Final answer
    x = 3,111,793,027,351.71

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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.