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Finding the Third Proportional to 2,957,131 and 6,416,180

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Solution

The third proportional to 2,957,131 and 6,416,180 is: 13,921,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957,131 : 6,416,180 = 6,416,180 : x
  2. Step 2: Convert to fraction form
    2,957,131/6,416,180 = 6,416,180/x
  3. Step 3: Cross multiply
    2,957,131x = 6,416,180 × 6,416,180
  4. Step 4: Simplify right side
    2,957,131x = 41,167,365,792,400
  5. Step 5: Solve for x
    x = 41,167,365,792,400/2,957,131
  6. Step 6: Final answer
    x = 13,921,387.25

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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.