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Finding the Third Proportional to 4,786,975.13 and 7,269,103.69

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Solution

The third proportional to 4,786,975.13 and 7,269,103.69 is: 11,038,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,975.13 : 7,269,103.69 = 7,269,103.69 : x
  2. Step 2: Convert to fraction form
    4,786,975.13/7,269,103.69 = 7,269,103.69/x
  3. Step 3: Cross multiply
    4,786,975.13x = 7,269,103.69 × 7,269,103.69
  4. Step 4: Simplify right side
    4,786,975.13x = 52,839,868,419,626.09
  5. Step 5: Solve for x
    x = 52,839,868,419,626.09/4,786,975.13
  6. Step 6: Final answer
    x = 11,038,258.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.