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Finding the Third Proportional to 31,839,294 and 50,497,416

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Solution

The third proportional to 31,839,294 and 50,497,416 is: 80,089,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,294 : 50,497,416 = 50,497,416 : x
  2. Step 2: Convert to fraction form
    31,839,294/50,497,416 = 50,497,416/x
  3. Step 3: Cross multiply
    31,839,294x = 50,497,416 × 50,497,416
  4. Step 4: Simplify right side
    31,839,294x = 2,549,989,022,677,056
  5. Step 5: Solve for x
    x = 2,549,989,022,677,056/31,839,294
  6. Step 6: Final answer
    x = 80,089,370.78

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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.