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Finding the Third Proportional to 5,921,600 and 12,741,328

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Solution

The third proportional to 5,921,600 and 12,741,328 is: 27,415,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,600 : 12,741,328 = 12,741,328 : x
  2. Step 2: Convert to fraction form
    5,921,600/12,741,328 = 12,741,328/x
  3. Step 3: Cross multiply
    5,921,600x = 12,741,328 × 12,741,328
  4. Step 4: Simplify right side
    5,921,600x = 162,341,439,203,584
  5. Step 5: Solve for x
    x = 162,341,439,203,584/5,921,600
  6. Step 6: Final answer
    x = 27,415,130.91

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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.