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Finding the Third Proportional to 2,674,388 and 5,643,976

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Solution

The third proportional to 2,674,388 and 5,643,976 is: 11,910,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,388 : 5,643,976 = 5,643,976 : x
  2. Step 2: Convert to fraction form
    2,674,388/5,643,976 = 5,643,976/x
  3. Step 3: Cross multiply
    2,674,388x = 5,643,976 × 5,643,976
  4. Step 4: Simplify right side
    2,674,388x = 31,854,465,088,576
  5. Step 5: Solve for x
    x = 31,854,465,088,576/2,674,388
  6. Step 6: Final answer
    x = 11,910,936.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.