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Finding the Third Proportional to 6,111,211 and 13,214,728

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Solution

The third proportional to 6,111,211 and 13,214,728 is: 28,575,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,211 : 13,214,728 = 13,214,728 : x
  2. Step 2: Convert to fraction form
    6,111,211/13,214,728 = 13,214,728/x
  3. Step 3: Cross multiply
    6,111,211x = 13,214,728 × 13,214,728
  4. Step 4: Simplify right side
    6,111,211x = 174,629,036,113,984
  5. Step 5: Solve for x
    x = 174,629,036,113,984/6,111,211
  6. Step 6: Final answer
    x = 28,575,193.38

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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.