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Finding the Third Proportional to 51,811,160 and 107,290,647

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Solution

The third proportional to 51,811,160 and 107,290,647 is: 222,177,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811,160 : 107,290,647 = 107,290,647 : x
  2. Step 2: Convert to fraction form
    51,811,160/107,290,647 = 107,290,647/x
  3. Step 3: Cross multiply
    51,811,160x = 107,290,647 × 107,290,647
  4. Step 4: Simplify right side
    51,811,160x = 11,511,282,933,678,608
  5. Step 5: Solve for x
    x = 11,511,282,933,678,608/51,811,160
  6. Step 6: Final answer
    x = 222,177,672.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.