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Finding the Third Proportional to 7,084,397,076.75 and 16,400,813,478.75

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Solution

The third proportional to 7,084,397,076.75 and 16,400,813,478.75 is: 37,968,888,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,397,076.75 : 16,400,813,478.75 = 16,400,813,478.75 : x
  2. Step 2: Convert to fraction form
    7,084,397,076.75/16,400,813,478.75 = 16,400,813,478.75/x
  3. Step 3: Cross multiply
    7,084,397,076.75x = 16,400,813,478.75 × 16,400,813,478.75
  4. Step 4: Simplify right side
    7,084,397,076.75x = 268,986,682,764,747,669,504
  5. Step 5: Solve for x
    x = 268,986,682,764,747,669,504/7,084,397,076.75
  6. Step 6: Final answer
    x = 37,968,888,509.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.