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Finding the Third Proportional to 2,716,255.69 and 5,756,358.66

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Solution

The third proportional to 2,716,255.69 and 5,756,358.66 is: 12,199,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,255.69 : 5,756,358.66 = 5,756,358.66 : x
  2. Step 2: Convert to fraction form
    2,716,255.69/5,756,358.66 = 5,756,358.66/x
  3. Step 3: Cross multiply
    2,716,255.69x = 5,756,358.66 × 5,756,358.66
  4. Step 4: Simplify right side
    2,716,255.69x = 33,135,664,979,384.30
  5. Step 5: Solve for x
    x = 33,135,664,979,384.30/2,716,255.69
  6. Step 6: Final answer
    x = 12,199,022.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.