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Finding the Third Proportional to 2,606,568,496,986 and 5,611,501,800,564

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Solution

The third proportional to 2,606,568,496,986 and 5,611,501,800,564 is: 12,080,615,757,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,568,496,986 : 5,611,501,800,564 = 5,611,501,800,564 : x
  2. Step 2: Convert to fraction form
    2,606,568,496,986/5,611,501,800,564 = 5,611,501,800,564/x
  3. Step 3: Cross multiply
    2,606,568,496,986x = 5,611,501,800,564 × 5,611,501,800,564
  4. Step 4: Simplify right side
    2,606,568,496,986x = 31,488,952,457,733,015,588,569,088
  5. Step 5: Solve for x
    x = 31,488,952,457,733,015,588,569,088/2,606,568,496,986
  6. Step 6: Final answer
    x = 12,080,615,757,515.67

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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.