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Finding the Third Proportional to 5,703,466 and 12,682,128

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Solution

The third proportional to 5,703,466 and 12,682,128 is: 28,199,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703,466 : 12,682,128 = 12,682,128 : x
  2. Step 2: Convert to fraction form
    5,703,466/12,682,128 = 12,682,128/x
  3. Step 3: Cross multiply
    5,703,466x = 12,682,128 × 12,682,128
  4. Step 4: Simplify right side
    5,703,466x = 160,836,370,608,384
  5. Step 5: Solve for x
    x = 160,836,370,608,384/5,703,466
  6. Step 6: Final answer
    x = 28,199,759.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.