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Finding the Third Proportional to 3,067,173 and 6,451,641.56

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Solution

The third proportional to 3,067,173 and 6,451,641.56 is: 13,570,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067,173 : 6,451,641.56 = 6,451,641.56 : x
  2. Step 2: Convert to fraction form
    3,067,173/6,451,641.56 = 6,451,641.56/x
  3. Step 3: Cross multiply
    3,067,173x = 6,451,641.56 × 6,451,641.56
  4. Step 4: Simplify right side
    3,067,173x = 41,623,678,850,977.44
  5. Step 5: Solve for x
    x = 41,623,678,850,977.44/3,067,173
  6. Step 6: Final answer
    x = 13,570,698.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.