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Finding the Third Proportional to 32,321,922.75 and 69,771,631.50

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Solution

The third proportional to 32,321,922.75 and 69,771,631.50 is: 150,612,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321,922.75 : 69,771,631.50 = 69,771,631.50 : x
  2. Step 2: Convert to fraction form
    32,321,922.75/69,771,631.50 = 69,771,631.50/x
  3. Step 3: Cross multiply
    32,321,922.75x = 69,771,631.50 × 69,771,631.50
  4. Step 4: Simplify right side
    32,321,922.75x = 4,868,080,562,171,792
  5. Step 5: Solve for x
    x = 4,868,080,562,171,792/32,321,922.75
  6. Step 6: Final answer
    x = 150,612,344.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.