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Finding the Third Proportional to 2,332,716.75 and 5,113,838.25

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Solution

The third proportional to 2,332,716.75 and 5,113,838.25 is: 11,210,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332,716.75 : 5,113,838.25 = 5,113,838.25 : x
  2. Step 2: Convert to fraction form
    2,332,716.75/5,113,838.25 = 5,113,838.25/x
  3. Step 3: Cross multiply
    2,332,716.75x = 5,113,838.25 × 5,113,838.25
  4. Step 4: Simplify right side
    2,332,716.75x = 26,151,341,647,163.06
  5. Step 5: Solve for x
    x = 26,151,341,647,163.06/2,332,716.75
  6. Step 6: Final answer
    x = 11,210,680.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.