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Finding the Third Proportional to 7,873,400.25 and 11,258,976.38

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Solution

The third proportional to 7,873,400.25 and 11,258,976.38 is: 16,100,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873,400.25 : 11,258,976.38 = 11,258,976.38 : x
  2. Step 2: Convert to fraction form
    7,873,400.25/11,258,976.38 = 11,258,976.38/x
  3. Step 3: Cross multiply
    7,873,400.25x = 11,258,976.38 × 11,258,976.38
  4. Step 4: Simplify right side
    7,873,400.25x = 126,764,549,012,808.14
  5. Step 5: Solve for x
    x = 126,764,549,012,808.14/7,873,400.25
  6. Step 6: Final answer
    x = 16,100,356.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.