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Finding the Third Proportional to 11,177,002,657 and 22,682,435,852

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Solution

The third proportional to 11,177,002,657 and 22,682,435,852 is: 46,031,383,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177,002,657 : 22,682,435,852 = 22,682,435,852 : x
  2. Step 2: Convert to fraction form
    11,177,002,657/22,682,435,852 = 22,682,435,852/x
  3. Step 3: Cross multiply
    11,177,002,657x = 22,682,435,852 × 22,682,435,852
  4. Step 4: Simplify right side
    11,177,002,657x = 514,492,896,180,094,959,616
  5. Step 5: Solve for x
    x = 514,492,896,180,094,959,616/11,177,002,657
  6. Step 6: Final answer
    x = 46,031,383,544.31

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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.