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Finding the Third Proportional to 2,606,568,496,978 and 5,611,501,800,548

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Solution

The third proportional to 2,606,568,496,978 and 5,611,501,800,548 is: 12,080,615,757,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,568,496,978 : 5,611,501,800,548 = 5,611,501,800,548 : x
  2. Step 2: Convert to fraction form
    2,606,568,496,978/5,611,501,800,548 = 5,611,501,800,548/x
  3. Step 3: Cross multiply
    2,606,568,496,978x = 5,611,501,800,548 × 5,611,501,800,548
  4. Step 4: Simplify right side
    2,606,568,496,978x = 31,488,952,457,553,447,300,890,624
  5. Step 5: Solve for x
    x = 31,488,952,457,553,447,300,890,624/2,606,568,496,978
  6. Step 6: Final answer
    x = 12,080,615,757,483.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.