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Finding the Third Proportional to 5,336,000 and 11,683,936

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Solution

The third proportional to 5,336,000 and 11,683,936 is: 25,583,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336,000 : 11,683,936 = 11,683,936 : x
  2. Step 2: Convert to fraction form
    5,336,000/11,683,936 = 11,683,936/x
  3. Step 3: Cross multiply
    5,336,000x = 11,683,936 × 11,683,936
  4. Step 4: Simplify right side
    5,336,000x = 136,514,360,452,096
  5. Step 5: Solve for x
    x = 136,514,360,452,096/5,336,000
  6. Step 6: Final answer
    x = 25,583,650.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.