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Finding the Third Proportional to 65,648,439 and 151,964,452.50

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Solution

The third proportional to 65,648,439 and 151,964,452.50 is: 351,770,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648,439 : 151,964,452.50 = 151,964,452.50 : x
  2. Step 2: Convert to fraction form
    65,648,439/151,964,452.50 = 151,964,452.50/x
  3. Step 3: Cross multiply
    65,648,439x = 151,964,452.50 × 151,964,452.50
  4. Step 4: Simplify right side
    65,648,439x = 23,093,194,823,624,756
  5. Step 5: Solve for x
    x = 23,093,194,823,624,756/65,648,439
  6. Step 6: Final answer
    x = 351,770,661.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.