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Finding the Third Proportional to 5,692,846.50 and 8,325,754.50

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Solution

The third proportional to 5,692,846.50 and 8,325,754.50 is: 12,176,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,846.50 : 8,325,754.50 = 8,325,754.50 : x
  2. Step 2: Convert to fraction form
    5,692,846.50/8,325,754.50 = 8,325,754.50/x
  3. Step 3: Cross multiply
    5,692,846.50x = 8,325,754.50 × 8,325,754.50
  4. Step 4: Simplify right side
    5,692,846.50x = 69,318,187,994,270.25
  5. Step 5: Solve for x
    x = 69,318,187,994,270.25/5,692,846.50
  6. Step 6: Final answer
    x = 12,176,366.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.