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Finding the Third Proportional to 7,357,174.88 and 17,184,210.75

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Solution

The third proportional to 7,357,174.88 and 17,184,210.75 is: 40,137,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357,174.88 : 17,184,210.75 = 17,184,210.75 : x
  2. Step 2: Convert to fraction form
    7,357,174.88/17,184,210.75 = 17,184,210.75/x
  3. Step 3: Cross multiply
    7,357,174.88x = 17,184,210.75 × 17,184,210.75
  4. Step 4: Simplify right side
    7,357,174.88x = 295,297,099,100,415.56
  5. Step 5: Solve for x
    x = 295,297,099,100,415.56/7,357,174.88
  6. Step 6: Final answer
    x = 40,137,295.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.