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Finding the Third Proportional to 30,682,759.50 and 68,176,201.50

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Solution

The third proportional to 30,682,759.50 and 68,176,201.50 is: 151,485,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682,759.50 : 68,176,201.50 = 68,176,201.50 : x
  2. Step 2: Convert to fraction form
    30,682,759.50/68,176,201.50 = 68,176,201.50/x
  3. Step 3: Cross multiply
    30,682,759.50x = 68,176,201.50 × 68,176,201.50
  4. Step 4: Simplify right side
    30,682,759.50x = 4,647,994,450,968,602
  5. Step 5: Solve for x
    x = 4,647,994,450,968,602/30,682,759.50
  6. Step 6: Final answer
    x = 151,485,541.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.