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Finding the Third Proportional to 11,177,002,651 and 22,682,435,840

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Solution

The third proportional to 11,177,002,651 and 22,682,435,840 is: 46,031,383,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177,002,651 : 22,682,435,840 = 22,682,435,840 : x
  2. Step 2: Convert to fraction form
    11,177,002,651/22,682,435,840 = 22,682,435,840/x
  3. Step 3: Cross multiply
    11,177,002,651x = 22,682,435,840 × 22,682,435,840
  4. Step 4: Simplify right side
    11,177,002,651x = 514,492,895,635,716,505,600
  5. Step 5: Solve for x
    x = 514,492,895,635,716,505,600/11,177,002,651
  6. Step 6: Final answer
    x = 46,031,383,520.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.