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Finding the Third Proportional to 6,571,968 and 14,380,752

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Solution

The third proportional to 6,571,968 and 14,380,752 is: 31,467,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571,968 : 14,380,752 = 14,380,752 : x
  2. Step 2: Convert to fraction form
    6,571,968/14,380,752 = 14,380,752/x
  3. Step 3: Cross multiply
    6,571,968x = 14,380,752 × 14,380,752
  4. Step 4: Simplify right side
    6,571,968x = 206,806,028,085,504
  5. Step 5: Solve for x
    x = 206,806,028,085,504/6,571,968
  6. Step 6: Final answer
    x = 31,467,899.43

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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.