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Finding the Third Proportional to 4,082,900 and 8,912,896

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Solution

The third proportional to 4,082,900 and 8,912,896 is: 19,456,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082,900 : 8,912,896 = 8,912,896 : x
  2. Step 2: Convert to fraction form
    4,082,900/8,912,896 = 8,912,896/x
  3. Step 3: Cross multiply
    4,082,900x = 8,912,896 × 8,912,896
  4. Step 4: Simplify right side
    4,082,900x = 79,439,715,106,816
  5. Step 5: Solve for x
    x = 79,439,715,106,816/4,082,900
  6. Step 6: Final answer
    x = 19,456,688.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.