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Finding the Third Proportional to 6,170,218 and 13,370,057

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Solution

The third proportional to 6,170,218 and 13,370,057 is: 28,971,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,218 : 13,370,057 = 13,370,057 : x
  2. Step 2: Convert to fraction form
    6,170,218/13,370,057 = 13,370,057/x
  3. Step 3: Cross multiply
    6,170,218x = 13,370,057 × 13,370,057
  4. Step 4: Simplify right side
    6,170,218x = 178,758,424,183,249
  5. Step 5: Solve for x
    x = 178,758,424,183,249/6,170,218
  6. Step 6: Final answer
    x = 28,971,168.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.