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Finding the Third Proportional to 5,339,408.63 and 11,057,335.31

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Solution

The third proportional to 5,339,408.63 and 11,057,335.31 is: 22,898,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339,408.63 : 11,057,335.31 = 11,057,335.31 : x
  2. Step 2: Convert to fraction form
    5,339,408.63/11,057,335.31 = 11,057,335.31/x
  3. Step 3: Cross multiply
    5,339,408.63x = 11,057,335.31 × 11,057,335.31
  4. Step 4: Simplify right side
    5,339,408.63x = 122,264,664,213,059.47
  5. Step 5: Solve for x
    x = 122,264,664,213,059.47/5,339,408.63
  6. Step 6: Final answer
    x = 22,898,540.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.