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Finding the Third Proportional to 5,202,192 and 8,284,869

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Solution

The third proportional to 5,202,192 and 8,284,869 is: 13,194,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202,192 : 8,284,869 = 8,284,869 : x
  2. Step 2: Convert to fraction form
    5,202,192/8,284,869 = 8,284,869/x
  3. Step 3: Cross multiply
    5,202,192x = 8,284,869 × 8,284,869
  4. Step 4: Simplify right side
    5,202,192x = 68,639,054,347,161
  5. Step 5: Solve for x
    x = 68,639,054,347,161/5,202,192
  6. Step 6: Final answer
    x = 13,194,256.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.