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Finding the Third Proportional to 13,464,560.25 and 21,324,076.25

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Solution

The third proportional to 13,464,560.25 and 21,324,076.25 is: 33,771,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464,560.25 : 21,324,076.25 = 21,324,076.25 : x
  2. Step 2: Convert to fraction form
    13,464,560.25/21,324,076.25 = 21,324,076.25/x
  3. Step 3: Cross multiply
    13,464,560.25x = 21,324,076.25 × 21,324,076.25
  4. Step 4: Simplify right side
    13,464,560.25x = 454,716,227,915,814.06
  5. Step 5: Solve for x
    x = 454,716,227,915,814.06/13,464,560.25
  6. Step 6: Final answer
    x = 33,771,338.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.