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Finding the Third Proportional to 11,280,260 and 17,184,765

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Solution

The third proportional to 11,280,260 and 17,184,765 is: 26,179,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280,260 : 17,184,765 = 17,184,765 : x
  2. Step 2: Convert to fraction form
    11,280,260/17,184,765 = 17,184,765/x
  3. Step 3: Cross multiply
    11,280,260x = 17,184,765 × 17,184,765
  4. Step 4: Simplify right side
    11,280,260x = 295,316,148,105,225
  5. Step 5: Solve for x
    x = 295,316,148,105,225/11,280,260
  6. Step 6: Final answer
    x = 26,179,906.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.