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Finding the Third Proportional to 5,758,826 and 13,332,041

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Solution

The third proportional to 5,758,826 and 13,332,041 is: 30,864,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,826 : 13,332,041 = 13,332,041 : x
  2. Step 2: Convert to fraction form
    5,758,826/13,332,041 = 13,332,041/x
  3. Step 3: Cross multiply
    5,758,826x = 13,332,041 × 13,332,041
  4. Step 4: Simplify right side
    5,758,826x = 177,743,317,225,681
  5. Step 5: Solve for x
    x = 177,743,317,225,681/5,758,826
  6. Step 6: Final answer
    x = 30,864,505.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.