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Finding the Third Proportional to 2,383,687.13 and 5,212,999.13

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Solution

The third proportional to 2,383,687.13 and 5,212,999.13 is: 11,400,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383,687.13 : 5,212,999.13 = 5,212,999.13 : x
  2. Step 2: Convert to fraction form
    2,383,687.13/5,212,999.13 = 5,212,999.13/x
  3. Step 3: Cross multiply
    2,383,687.13x = 5,212,999.13 × 5,212,999.13
  4. Step 4: Simplify right side
    2,383,687.13x = 27,175,359,877,250.77
  5. Step 5: Solve for x
    x = 27,175,359,877,250.77/2,383,687.13
  6. Step 6: Final answer
    x = 11,400,556.55

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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.