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Finding the Third Proportional to 679,187,809,250 and 1,453,785,365,569

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Solution

The third proportional to 679,187,809,250 and 1,453,785,365,569 is: 3,111,793,027,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,187,809,250 : 1,453,785,365,569 = 1,453,785,365,569 : x
  2. Step 2: Convert to fraction form
    679,187,809,250/1,453,785,365,569 = 1,453,785,365,569/x
  3. Step 3: Cross multiply
    679,187,809,250x = 1,453,785,365,569 × 1,453,785,365,569
  4. Step 4: Simplify right side
    679,187,809,250x = 2,113,491,889,142,590,888,476,672
  5. Step 5: Solve for x
    x = 2,113,491,889,142,590,888,476,672/679,187,809,250
  6. Step 6: Final answer
    x = 3,111,793,027,434.39

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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.