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Finding the Third Proportional to 2,996,676 and 6,472,177

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Solution

The third proportional to 2,996,676 and 6,472,177 is: 13,978,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,676 : 6,472,177 = 6,472,177 : x
  2. Step 2: Convert to fraction form
    2,996,676/6,472,177 = 6,472,177/x
  3. Step 3: Cross multiply
    2,996,676x = 6,472,177 × 6,472,177
  4. Step 4: Simplify right side
    2,996,676x = 41,889,075,119,329
  5. Step 5: Solve for x
    x = 41,889,075,119,329/2,996,676
  6. Step 6: Final answer
    x = 13,978,513.23

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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.