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Finding the Third Proportional to 2,419,822.69 and 5,266,383.75

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Solution

The third proportional to 2,419,822.69 and 5,266,383.75 is: 11,461,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,822.69 : 5,266,383.75 = 5,266,383.75 : x
  2. Step 2: Convert to fraction form
    2,419,822.69/5,266,383.75 = 5,266,383.75/x
  3. Step 3: Cross multiply
    2,419,822.69x = 5,266,383.75 × 5,266,383.75
  4. Step 4: Simplify right side
    2,419,822.69x = 27,734,797,802,264.06
  5. Step 5: Solve for x
    x = 27,734,797,802,264.06/2,419,822.69
  6. Step 6: Final answer
    x = 11,461,500.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.