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Finding the Third Proportional to 7,838,500 and 15,991,914

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Solution

The third proportional to 7,838,500 and 15,991,914 is: 32,626,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,500 : 15,991,914 = 15,991,914 : x
  2. Step 2: Convert to fraction form
    7,838,500/15,991,914 = 15,991,914/x
  3. Step 3: Cross multiply
    7,838,500x = 15,991,914 × 15,991,914
  4. Step 4: Simplify right side
    7,838,500x = 255,741,313,383,396
  5. Step 5: Solve for x
    x = 255,741,313,383,396/7,838,500
  6. Step 6: Final answer
    x = 32,626,307.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.