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Finding the Third Proportional to 3,026,410.50 and 6,530,914.50

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Solution

The third proportional to 3,026,410.50 and 6,530,914.50 is: 14,093,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026,410.50 : 6,530,914.50 = 6,530,914.50 : x
  2. Step 2: Convert to fraction form
    3,026,410.50/6,530,914.50 = 6,530,914.50/x
  3. Step 3: Cross multiply
    3,026,410.50x = 6,530,914.50 × 6,530,914.50
  4. Step 4: Simplify right side
    3,026,410.50x = 42,652,844,206,310.25
  5. Step 5: Solve for x
    x = 42,652,844,206,310.25/3,026,410.50
  6. Step 6: Final answer
    x = 14,093,542.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.