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Finding the Third Proportional to 6,571,970 and 14,380,756

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Solution

The third proportional to 6,571,970 and 14,380,756 is: 31,467,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571,970 : 14,380,756 = 14,380,756 : x
  2. Step 2: Convert to fraction form
    6,571,970/14,380,756 = 14,380,756/x
  3. Step 3: Cross multiply
    6,571,970x = 14,380,756 × 14,380,756
  4. Step 4: Simplify right side
    6,571,970x = 206,806,143,131,536
  5. Step 5: Solve for x
    x = 206,806,143,131,536/6,571,970
  6. Step 6: Final answer
    x = 31,467,907.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.