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Finding the Third Proportional to 2,628,148 and 5,648,912

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Solution

The third proportional to 2,628,148 and 5,648,912 is: 12,141,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628,148 : 5,648,912 = 5,648,912 : x
  2. Step 2: Convert to fraction form
    2,628,148/5,648,912 = 5,648,912/x
  3. Step 3: Cross multiply
    2,628,148x = 5,648,912 × 5,648,912
  4. Step 4: Simplify right side
    2,628,148x = 31,910,206,783,744
  5. Step 5: Solve for x
    x = 31,910,206,783,744/2,628,148
  6. Step 6: Final answer
    x = 12,141,708.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.