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Finding the Third Proportional to 3,477,416.06 and 7,469,020.13

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Solution

The third proportional to 3,477,416.06 and 7,469,020.13 is: 16,042,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,416.06 : 7,469,020.13 = 7,469,020.13 : x
  2. Step 2: Convert to fraction form
    3,477,416.06/7,469,020.13 = 7,469,020.13/x
  3. Step 3: Cross multiply
    3,477,416.06x = 7,469,020.13 × 7,469,020.13
  4. Step 4: Simplify right side
    3,477,416.06x = 55,786,261,627,655.02
  5. Step 5: Solve for x
    x = 55,786,261,627,655.02/3,477,416.06
  6. Step 6: Final answer
    x = 16,042,446.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.