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Finding the Third Proportional to 17,184,965 and 24,090,055

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Solution

The third proportional to 17,184,965 and 24,090,055 is: 33,769,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184,965 : 24,090,055 = 24,090,055 : x
  2. Step 2: Convert to fraction form
    17,184,965/24,090,055 = 24,090,055/x
  3. Step 3: Cross multiply
    17,184,965x = 24,090,055 × 24,090,055
  4. Step 4: Simplify right side
    17,184,965x = 580,330,749,903,025
  5. Step 5: Solve for x
    x = 580,330,749,903,025/17,184,965
  6. Step 6: Final answer
    x = 33,769,678.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.