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Finding the Third Proportional to 33,042,951 and 46,449,598.50

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Solution

The third proportional to 33,042,951 and 46,449,598.50 is: 65,295,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042,951 : 46,449,598.50 = 46,449,598.50 : x
  2. Step 2: Convert to fraction form
    33,042,951/46,449,598.50 = 46,449,598.50/x
  3. Step 3: Cross multiply
    33,042,951x = 46,449,598.50 × 46,449,598.50
  4. Step 4: Simplify right side
    33,042,951x = 2,157,565,200,811,202.25
  5. Step 5: Solve for x
    x = 2,157,565,200,811,202.25/33,042,951
  6. Step 6: Final answer
    x = 65,295,778.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.