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Finding the Third Proportional to 6,381,524.25 and 13,660,069.50

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Solution

The third proportional to 6,381,524.25 and 13,660,069.50 is: 29,240,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,524.25 : 13,660,069.50 = 13,660,069.50 : x
  2. Step 2: Convert to fraction form
    6,381,524.25/13,660,069.50 = 13,660,069.50/x
  3. Step 3: Cross multiply
    6,381,524.25x = 13,660,069.50 × 13,660,069.50
  4. Step 4: Simplify right side
    6,381,524.25x = 186,597,498,744,830.25
  5. Step 5: Solve for x
    x = 186,597,498,744,830.25/6,381,524.25
  6. Step 6: Final answer
    x = 29,240,271.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.