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Finding the Third Proportional to 2,606,568,496,985 and 5,611,501,800,562

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Solution

The third proportional to 2,606,568,496,985 and 5,611,501,800,562 is: 12,080,615,757,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,568,496,985 : 5,611,501,800,562 = 5,611,501,800,562 : x
  2. Step 2: Convert to fraction form
    2,606,568,496,985/5,611,501,800,562 = 5,611,501,800,562/x
  3. Step 3: Cross multiply
    2,606,568,496,985x = 5,611,501,800,562 × 5,611,501,800,562
  4. Step 4: Simplify right side
    2,606,568,496,985x = 31,488,952,457,710,570,089,480,192
  5. Step 5: Solve for x
    x = 31,488,952,457,710,570,089,480,192/2,606,568,496,985
  6. Step 6: Final answer
    x = 12,080,615,757,511.70

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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.