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Finding the Third Proportional to 5,253,912 and 11,346,096

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Solution

The third proportional to 5,253,912 and 11,346,096 is: 24,502,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253,912 : 11,346,096 = 11,346,096 : x
  2. Step 2: Convert to fraction form
    5,253,912/11,346,096 = 11,346,096/x
  3. Step 3: Cross multiply
    5,253,912x = 11,346,096 × 11,346,096
  4. Step 4: Simplify right side
    5,253,912x = 128,733,894,441,216
  5. Step 5: Solve for x
    x = 128,733,894,441,216/5,253,912
  6. Step 6: Final answer
    x = 24,502,483.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.