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Finding the Third Proportional to 2,606,568,496,980 and 5,611,501,800,552

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Solution

The third proportional to 2,606,568,496,980 and 5,611,501,800,552 is: 12,080,615,757,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,568,496,980 : 5,611,501,800,552 = 5,611,501,800,552 : x
  2. Step 2: Convert to fraction form
    2,606,568,496,980/5,611,501,800,552 = 5,611,501,800,552/x
  3. Step 3: Cross multiply
    2,606,568,496,980x = 5,611,501,800,552 × 5,611,501,800,552
  4. Step 4: Simplify right side
    2,606,568,496,980x = 31,488,952,457,598,338,299,068,416
  5. Step 5: Solve for x
    x = 31,488,952,457,598,338,299,068,416/2,606,568,496,980
  6. Step 6: Final answer
    x = 12,080,615,757,491.81

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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.