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Finding the Third Proportional to 5,231,007 and 11,084,269.50

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Solution

The third proportional to 5,231,007 and 11,084,269.50 is: 23,487,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231,007 : 11,084,269.50 = 11,084,269.50 : x
  2. Step 2: Convert to fraction form
    5,231,007/11,084,269.50 = 11,084,269.50/x
  3. Step 3: Cross multiply
    5,231,007x = 11,084,269.50 × 11,084,269.50
  4. Step 4: Simplify right side
    5,231,007x = 122,861,030,348,630.25
  5. Step 5: Solve for x
    x = 122,861,030,348,630.25/5,231,007
  6. Step 6: Final answer
    x = 23,487,070.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.