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Finding the Third Proportional to 6,624,616 and 14,193,584

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Solution

The third proportional to 6,624,616 and 14,193,584 is: 30,410,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624,616 : 14,193,584 = 14,193,584 : x
  2. Step 2: Convert to fraction form
    6,624,616/14,193,584 = 14,193,584/x
  3. Step 3: Cross multiply
    6,624,616x = 14,193,584 × 14,193,584
  4. Step 4: Simplify right side
    6,624,616x = 201,457,826,765,056
  5. Step 5: Solve for x
    x = 201,457,826,765,056/6,624,616
  6. Step 6: Final answer
    x = 30,410,491.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.