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Finding the Third Proportional to 2,457,787.50 and 5,033,673

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Solution

The third proportional to 2,457,787.50 and 5,033,673 is: 10,309,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,787.50 : 5,033,673 = 5,033,673 : x
  2. Step 2: Convert to fraction form
    2,457,787.50/5,033,673 = 5,033,673/x
  3. Step 3: Cross multiply
    2,457,787.50x = 5,033,673 × 5,033,673
  4. Step 4: Simplify right side
    2,457,787.50x = 25,337,863,870,929
  5. Step 5: Solve for x
    x = 25,337,863,870,929/2,457,787.50
  6. Step 6: Final answer
    x = 10,309,216.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.