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Finding the Third Proportional to 6,095,745 and 13,324,902.75

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Solution

The third proportional to 6,095,745 and 13,324,902.75 is: 29,127,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,745 : 13,324,902.75 = 13,324,902.75 : x
  2. Step 2: Convert to fraction form
    6,095,745/13,324,902.75 = 13,324,902.75/x
  3. Step 3: Cross multiply
    6,095,745x = 13,324,902.75 × 13,324,902.75
  4. Step 4: Simplify right side
    6,095,745x = 177,553,033,296,957.56
  5. Step 5: Solve for x
    x = 177,553,033,296,957.56/6,095,745
  6. Step 6: Final answer
    x = 29,127,372.17

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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.