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Finding the Third Proportional to 5,703,176 and 11,878,105

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Solution

The third proportional to 5,703,176 and 11,878,105 is: 24,738,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703,176 : 11,878,105 = 11,878,105 : x
  2. Step 2: Convert to fraction form
    5,703,176/11,878,105 = 11,878,105/x
  3. Step 3: Cross multiply
    5,703,176x = 11,878,105 × 11,878,105
  4. Step 4: Simplify right side
    5,703,176x = 141,089,378,391,025
  5. Step 5: Solve for x
    x = 141,089,378,391,025/5,703,176
  6. Step 6: Final answer
    x = 24,738,738.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.