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Finding the Third Proportional to 9,477,186 and 20,467,416

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Solution

The third proportional to 9,477,186 and 20,467,416 is: 44,202,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477,186 : 20,467,416 = 20,467,416 : x
  2. Step 2: Convert to fraction form
    9,477,186/20,467,416 = 20,467,416/x
  3. Step 3: Cross multiply
    9,477,186x = 20,467,416 × 20,467,416
  4. Step 4: Simplify right side
    9,477,186x = 418,915,117,717,056
  5. Step 5: Solve for x
    x = 418,915,117,717,056/9,477,186
  6. Step 6: Final answer
    x = 44,202,479.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.