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Finding the Third Proportional to 3,383,230.59 and 7,894,477.36

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Solution

The third proportional to 3,383,230.59 and 7,894,477.36 is: 18,421,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383,230.59 : 7,894,477.36 = 7,894,477.36 : x
  2. Step 2: Convert to fraction form
    3,383,230.59/7,894,477.36 = 7,894,477.36/x
  3. Step 3: Cross multiply
    3,383,230.59x = 7,894,477.36 × 7,894,477.36
  4. Step 4: Simplify right side
    3,383,230.59x = 62,322,772,777,684.48
  5. Step 5: Solve for x
    x = 62,322,772,777,684.48/3,383,230.59
  6. Step 6: Final answer
    x = 18,421,083.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.