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Finding the Third Proportional to 5,776,512 and 12,516,256

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Solution

The third proportional to 5,776,512 and 12,516,256 is: 27,119,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776,512 : 12,516,256 = 12,516,256 : x
  2. Step 2: Convert to fraction form
    5,776,512/12,516,256 = 12,516,256/x
  3. Step 3: Cross multiply
    5,776,512x = 12,516,256 × 12,516,256
  4. Step 4: Simplify right side
    5,776,512x = 156,656,664,257,536
  5. Step 5: Solve for x
    x = 156,656,664,257,536/5,776,512
  6. Step 6: Final answer
    x = 27,119,594.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.