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Finding the Third Proportional to 568,489,796,034 and 1,264,085,797,479

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Solution

The third proportional to 568,489,796,034 and 1,264,085,797,479 is: 2,810,803,139,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,489,796,034 : 1,264,085,797,479 = 1,264,085,797,479 : x
  2. Step 2: Convert to fraction form
    568,489,796,034/1,264,085,797,479 = 1,264,085,797,479/x
  3. Step 3: Cross multiply
    568,489,796,034x = 1,264,085,797,479 × 1,264,085,797,479
  4. Step 4: Simplify right side
    568,489,796,034x = 1,597,912,903,388,119,408,050,176
  5. Step 5: Solve for x
    x = 1,597,912,903,388,119,408,050,176/568,489,796,034
  6. Step 6: Final answer
    x = 2,810,803,139,362.86

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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.