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Finding the Third Proportional to 13,274,901 and 20,858,907

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Solution

The third proportional to 13,274,901 and 20,858,907 is: 32,775,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274,901 : 20,858,907 = 20,858,907 : x
  2. Step 2: Convert to fraction form
    13,274,901/20,858,907 = 20,858,907/x
  3. Step 3: Cross multiply
    13,274,901x = 20,858,907 × 20,858,907
  4. Step 4: Simplify right side
    13,274,901x = 435,094,001,234,649
  5. Step 5: Solve for x
    x = 435,094,001,234,649/13,274,901
  6. Step 6: Final answer
    x = 32,775,687.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.