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Finding the Third Proportional to 31,059,969 and 47,235,255

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Solution

The third proportional to 31,059,969 and 47,235,255 is: 71,834,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059,969 : 47,235,255 = 47,235,255 : x
  2. Step 2: Convert to fraction form
    31,059,969/47,235,255 = 47,235,255/x
  3. Step 3: Cross multiply
    31,059,969x = 47,235,255 × 47,235,255
  4. Step 4: Simplify right side
    31,059,969x = 2,231,169,314,915,025
  5. Step 5: Solve for x
    x = 2,231,169,314,915,025/31,059,969
  6. Step 6: Final answer
    x = 71,834,241.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.