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Finding the Third Proportional to 3,074,562 and 6,728,314.50

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Solution

The third proportional to 3,074,562 and 6,728,314.50 is: 14,724,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,562 : 6,728,314.50 = 6,728,314.50 : x
  2. Step 2: Convert to fraction form
    3,074,562/6,728,314.50 = 6,728,314.50/x
  3. Step 3: Cross multiply
    3,074,562x = 6,728,314.50 × 6,728,314.50
  4. Step 4: Simplify right side
    3,074,562x = 45,270,216,010,910.25
  5. Step 5: Solve for x
    x = 45,270,216,010,910.25/3,074,562
  6. Step 6: Final answer
    x = 14,724,118.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.