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Finding the Third Proportional to 31,839,288 and 50,497,407

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Solution

The third proportional to 31,839,288 and 50,497,407 is: 80,089,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,288 : 50,497,407 = 50,497,407 : x
  2. Step 2: Convert to fraction form
    31,839,288/50,497,407 = 50,497,407/x
  3. Step 3: Cross multiply
    31,839,288x = 50,497,407 × 50,497,407
  4. Step 4: Simplify right side
    31,839,288x = 2,549,988,113,723,649
  5. Step 5: Solve for x
    x = 2,549,988,113,723,649/31,839,288
  6. Step 6: Final answer
    x = 80,089,357.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.