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Finding the Third Proportional to 6,873,648 and 10,100,016

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Solution

The third proportional to 6,873,648 and 10,100,016 is: 14,840,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873,648 : 10,100,016 = 10,100,016 : x
  2. Step 2: Convert to fraction form
    6,873,648/10,100,016 = 10,100,016/x
  3. Step 3: Cross multiply
    6,873,648x = 10,100,016 × 10,100,016
  4. Step 4: Simplify right side
    6,873,648x = 102,010,323,200,256
  5. Step 5: Solve for x
    x = 102,010,323,200,256/6,873,648
  6. Step 6: Final answer
    x = 14,840,783.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.