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Finding the Third Proportional to 6,675,432 and 13,704,745.50

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Solution

The third proportional to 6,675,432 and 13,704,745.50 is: 28,136,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,432 : 13,704,745.50 = 13,704,745.50 : x
  2. Step 2: Convert to fraction form
    6,675,432/13,704,745.50 = 13,704,745.50/x
  3. Step 3: Cross multiply
    6,675,432x = 13,704,745.50 × 13,704,745.50
  4. Step 4: Simplify right side
    6,675,432x = 187,820,049,219,770.25
  5. Step 5: Solve for x
    x = 187,820,049,219,770.25/6,675,432
  6. Step 6: Final answer
    x = 28,136,014.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.