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Finding the Third Proportional to 37,729,424 and 80,837,896

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Solution

The third proportional to 37,729,424 and 80,837,896 is: 173,200,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729,424 : 80,837,896 = 80,837,896 : x
  2. Step 2: Convert to fraction form
    37,729,424/80,837,896 = 80,837,896/x
  3. Step 3: Cross multiply
    37,729,424x = 80,837,896 × 80,837,896
  4. Step 4: Simplify right side
    37,729,424x = 6,534,765,429,706,816
  5. Step 5: Solve for x
    x = 6,534,765,429,706,816/37,729,424
  6. Step 6: Final answer
    x = 173,200,773.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.