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Finding the Third Proportional to 6,100,400 and 13,146,312

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Solution

The third proportional to 6,100,400 and 13,146,312 is: 28,330,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100,400 : 13,146,312 = 13,146,312 : x
  2. Step 2: Convert to fraction form
    6,100,400/13,146,312 = 13,146,312/x
  3. Step 3: Cross multiply
    6,100,400x = 13,146,312 × 13,146,312
  4. Step 4: Simplify right side
    6,100,400x = 172,825,519,201,344
  5. Step 5: Solve for x
    x = 172,825,519,201,344/6,100,400
  6. Step 6: Final answer
    x = 28,330,194.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.