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Finding the Third Proportional to 568,489,799,959 and 1,264,085,805,337

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Solution

The third proportional to 568,489,799,959 and 1,264,085,805,337 is: 2,810,803,154,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,489,799,959 : 1,264,085,805,337 = 1,264,085,805,337 : x
  2. Step 2: Convert to fraction form
    568,489,799,959/1,264,085,805,337 = 1,264,085,805,337/x
  3. Step 3: Cross multiply
    568,489,799,959x = 1,264,085,805,337 × 1,264,085,805,337
  4. Step 4: Simplify right side
    568,489,799,959x = 1,597,912,923,254,491,977,875,456
  5. Step 5: Solve for x
    x = 1,597,912,923,254,491,977,875,456/568,489,799,959
  6. Step 6: Final answer
    x = 2,810,803,154,902.23

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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.