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Finding the Third Proportional to 4,535,741.81 and 7,022,998.69

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Solution

The third proportional to 4,535,741.81 and 7,022,998.69 is: 10,874,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,741.81 : 7,022,998.69 = 7,022,998.69 : x
  2. Step 2: Convert to fraction form
    4,535,741.81/7,022,998.69 = 7,022,998.69/x
  3. Step 3: Cross multiply
    4,535,741.81x = 7,022,998.69 × 7,022,998.69
  4. Step 4: Simplify right side
    4,535,741.81x = 49,322,510,564,626.72
  5. Step 5: Solve for x
    x = 49,322,510,564,626.72/4,535,741.81
  6. Step 6: Final answer
    x = 10,874,188.30

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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.