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Finding the Third Proportional to 6,917,724 and 10,992,408.75

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Solution

The third proportional to 6,917,724 and 10,992,408.75 is: 17,467,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,724 : 10,992,408.75 = 10,992,408.75 : x
  2. Step 2: Convert to fraction form
    6,917,724/10,992,408.75 = 10,992,408.75/x
  3. Step 3: Cross multiply
    6,917,724x = 10,992,408.75 × 10,992,408.75
  4. Step 4: Simplify right side
    6,917,724x = 120,833,050,127,076.56
  5. Step 5: Solve for x
    x = 120,833,050,127,076.56/6,917,724
  6. Step 6: Final answer
    x = 17,467,168.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.