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Finding the Third Proportional to 568,489,796,043 and 1,264,085,797,497

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Solution

The third proportional to 568,489,796,043 and 1,264,085,797,497 is: 2,810,803,139,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,489,796,043 : 1,264,085,797,497 = 1,264,085,797,497 : x
  2. Step 2: Convert to fraction form
    568,489,796,043/1,264,085,797,497 = 1,264,085,797,497/x
  3. Step 3: Cross multiply
    568,489,796,043x = 1,264,085,797,497 × 1,264,085,797,497
  4. Step 4: Simplify right side
    568,489,796,043x = 1,597,912,903,433,626,465,599,488
  5. Step 5: Solve for x
    x = 1,597,912,903,433,626,465,599,488/568,489,796,043
  6. Step 6: Final answer
    x = 2,810,803,139,398.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.