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Finding the Third Proportional to 327,217,009.50 and 699,783,644.25

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Solution

The third proportional to 327,217,009.50 and 699,783,644.25 is: 1,496,551,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,217,009.50 : 699,783,644.25 = 699,783,644.25 : x
  2. Step 2: Convert to fraction form
    327,217,009.50/699,783,644.25 = 699,783,644.25/x
  3. Step 3: Cross multiply
    327,217,009.50x = 699,783,644.25 × 699,783,644.25
  4. Step 4: Simplify right side
    327,217,009.50x = 489,697,148,759,810,560
  5. Step 5: Solve for x
    x = 489,697,148,759,810,560/327,217,009.50
  6. Step 6: Final answer
    x = 1,496,551,629.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.