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Finding the Third Proportional to 679,187,809,224 and 1,453,785,365,520

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Solution

The third proportional to 679,187,809,224 and 1,453,785,365,520 is: 3,111,793,027,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,187,809,224 : 1,453,785,365,520 = 1,453,785,365,520 : x
  2. Step 2: Convert to fraction form
    679,187,809,224/1,453,785,365,520 = 1,453,785,365,520/x
  3. Step 3: Cross multiply
    679,187,809,224x = 1,453,785,365,520 × 1,453,785,365,520
  4. Step 4: Simplify right side
    679,187,809,224x = 2,113,491,889,000,120,112,381,952
  5. Step 5: Solve for x
    x = 2,113,491,889,000,120,112,381,952/679,187,809,224
  6. Step 6: Final answer
    x = 3,111,793,027,343.75

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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.