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Finding the Third Proportional to 3,783,406.50 and 8,276,950.50

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Solution

The third proportional to 3,783,406.50 and 8,276,950.50 is: 18,107,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,406.50 : 8,276,950.50 = 8,276,950.50 : x
  2. Step 2: Convert to fraction form
    3,783,406.50/8,276,950.50 = 8,276,950.50/x
  3. Step 3: Cross multiply
    3,783,406.50x = 8,276,950.50 × 8,276,950.50
  4. Step 4: Simplify right side
    3,783,406.50x = 68,507,909,579,450.25
  5. Step 5: Solve for x
    x = 68,507,909,579,450.25/3,783,406.50
  6. Step 6: Final answer
    x = 18,107,467.33

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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.