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Finding the Third Proportional to 5,120,799.75 and 10,972,004.34

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Solution

The third proportional to 5,120,799.75 and 10,972,004.34 is: 23,508,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120,799.75 : 10,972,004.34 = 10,972,004.34 : x
  2. Step 2: Convert to fraction form
    5,120,799.75/10,972,004.34 = 10,972,004.34/x
  3. Step 3: Cross multiply
    5,120,799.75x = 10,972,004.34 × 10,972,004.34
  4. Step 4: Simplify right side
    5,120,799.75x = 120,384,879,319,268.88
  5. Step 5: Solve for x
    x = 120,384,879,319,268.88/5,120,799.75
  6. Step 6: Final answer
    x = 23,508,999.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.