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Finding the Third Proportional to 679,187,820,744 and 1,453,785,388,560

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Solution

The third proportional to 679,187,820,744 and 1,453,785,388,560 is: 3,111,793,073,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,187,820,744 : 1,453,785,388,560 = 1,453,785,388,560 : x
  2. Step 2: Convert to fraction form
    679,187,820,744/1,453,785,388,560 = 1,453,785,388,560/x
  3. Step 3: Cross multiply
    679,187,820,744x = 1,453,785,388,560 × 1,453,785,388,560
  4. Step 4: Simplify right side
    679,187,820,744x = 2,113,491,955,990,550,120,759,296
  5. Step 5: Solve for x
    x = 2,113,491,955,990,550,120,759,296/679,187,820,744
  6. Step 6: Final answer
    x = 3,111,793,073,196.42

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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.