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Finding the Third Proportional to 6,161,323.50 and 13,739,337

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Solution

The third proportional to 6,161,323.50 and 13,739,337 is: 30,637,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161,323.50 : 13,739,337 = 13,739,337 : x
  2. Step 2: Convert to fraction form
    6,161,323.50/13,739,337 = 13,739,337/x
  3. Step 3: Cross multiply
    6,161,323.50x = 13,739,337 × 13,739,337
  4. Step 4: Simplify right side
    6,161,323.50x = 188,769,381,199,569
  5. Step 5: Solve for x
    x = 188,769,381,199,569/6,161,323.50
  6. Step 6: Final answer
    x = 30,637,797.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.