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Finding the Third Proportional to 31,839,283 and 50,497,399.50

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Solution

The third proportional to 31,839,283 and 50,497,399.50 is: 80,089,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,283 : 50,497,399.50 = 50,497,399.50 : x
  2. Step 2: Convert to fraction form
    31,839,283/50,497,399.50 = 50,497,399.50/x
  3. Step 3: Cross multiply
    31,839,283x = 50,497,399.50 × 50,497,399.50
  4. Step 4: Simplify right side
    31,839,283x = 2,549,987,356,262,600
  5. Step 5: Solve for x
    x = 2,549,987,356,262,600/31,839,283
  6. Step 6: Final answer
    x = 80,089,346.12

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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.