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Finding the Third Proportional to 3,383,704.13 and 7,306,746.75

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Solution

The third proportional to 3,383,704.13 and 7,306,746.75 is: 15,778,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383,704.13 : 7,306,746.75 = 7,306,746.75 : x
  2. Step 2: Convert to fraction form
    3,383,704.13/7,306,746.75 = 7,306,746.75/x
  3. Step 3: Cross multiply
    3,383,704.13x = 7,306,746.75 × 7,306,746.75
  4. Step 4: Simplify right side
    3,383,704.13x = 53,388,548,068,635.56
  5. Step 5: Solve for x
    x = 53,388,548,068,635.56/3,383,704.13
  6. Step 6: Final answer
    x = 15,778,137.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.