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Finding the Third Proportional to 6,838,112 and 10,827,975

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Solution

The third proportional to 6,838,112 and 10,827,975 is: 17,145,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,112 : 10,827,975 = 10,827,975 : x
  2. Step 2: Convert to fraction form
    6,838,112/10,827,975 = 10,827,975/x
  3. Step 3: Cross multiply
    6,838,112x = 10,827,975 × 10,827,975
  4. Step 4: Simplify right side
    6,838,112x = 117,245,042,600,625
  5. Step 5: Solve for x
    x = 117,245,042,600,625/6,838,112
  6. Step 6: Final answer
    x = 17,145,820.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.