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Finding the Third Proportional to 10,084,516.50 and 21,711,918

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Solution

The third proportional to 10,084,516.50 and 21,711,918 is: 46,745,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084,516.50 : 21,711,918 = 21,711,918 : x
  2. Step 2: Convert to fraction form
    10,084,516.50/21,711,918 = 21,711,918/x
  3. Step 3: Cross multiply
    10,084,516.50x = 21,711,918 × 21,711,918
  4. Step 4: Simplify right side
    10,084,516.50x = 471,407,383,238,724
  5. Step 5: Solve for x
    x = 471,407,383,238,724/10,084,516.50
  6. Step 6: Final answer
    x = 46,745,660.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.