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Finding the Third Proportional to 5,066,745.75 and 7,842,467.25

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Solution

The third proportional to 5,066,745.75 and 7,842,467.25 is: 12,138,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066,745.75 : 7,842,467.25 = 7,842,467.25 : x
  2. Step 2: Convert to fraction form
    5,066,745.75/7,842,467.25 = 7,842,467.25/x
  3. Step 3: Cross multiply
    5,066,745.75x = 7,842,467.25 × 7,842,467.25
  4. Step 4: Simplify right side
    5,066,745.75x = 61,504,292,567,322.56
  5. Step 5: Solve for x
    x = 61,504,292,567,322.56/5,066,745.75
  6. Step 6: Final answer
    x = 12,138,815.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.