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Finding the Third Proportional to 3,131,265.68 and 4,848,409.81

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Solution

The third proportional to 3,131,265.68 and 4,848,409.81 is: 7,507,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131,265.68 : 4,848,409.81 = 4,848,409.81 : x
  2. Step 2: Convert to fraction form
    3,131,265.68/4,848,409.81 = 4,848,409.81/x
  3. Step 3: Cross multiply
    3,131,265.68x = 4,848,409.81 × 4,848,409.81
  4. Step 4: Simplify right side
    3,131,265.68x = 23,507,077,677,690.78
  5. Step 5: Solve for x
    x = 23,507,077,677,690.78/3,131,265.68
  6. Step 6: Final answer
    x = 7,507,212.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.