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Finding the Third Proportional to 7,357,180.75 and 17,184,226.25

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Solution

The third proportional to 7,357,180.75 and 17,184,226.25 is: 40,137,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357,180.75 : 17,184,226.25 = 17,184,226.25 : x
  2. Step 2: Convert to fraction form
    7,357,180.75/17,184,226.25 = 17,184,226.25/x
  3. Step 3: Cross multiply
    7,357,180.75x = 17,184,226.25 × 17,184,226.25
  4. Step 4: Simplify right side
    7,357,180.75x = 295,297,631,811,189.06
  5. Step 5: Solve for x
    x = 295,297,631,811,189.06/7,357,180.75
  6. Step 6: Final answer
    x = 40,137,335.46

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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.