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Finding the Third Proportional to 3,052,298.32 and 6,355,786.50

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Solution

The third proportional to 3,052,298.32 and 6,355,786.50 is: 13,234,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,298.32 : 6,355,786.50 = 6,355,786.50 : x
  2. Step 2: Convert to fraction form
    3,052,298.32/6,355,786.50 = 6,355,786.50/x
  3. Step 3: Cross multiply
    3,052,298.32x = 6,355,786.50 × 6,355,786.50
  4. Step 4: Simplify right side
    3,052,298.32x = 40,396,022,033,582.25
  5. Step 5: Solve for x
    x = 40,396,022,033,582.25/3,052,298.32
  6. Step 6: Final answer
    x = 13,234,624.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.