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Finding the Third Proportional to 7,084,397,079 and 16,400,813,483

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Solution

The third proportional to 7,084,397,079 and 16,400,813,483 is: 37,968,888,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,397,079 : 16,400,813,483 = 16,400,813,483 : x
  2. Step 2: Convert to fraction form
    7,084,397,079/16,400,813,483 = 16,400,813,483/x
  3. Step 3: Cross multiply
    7,084,397,079x = 16,400,813,483 × 16,400,813,483
  4. Step 4: Simplify right side
    7,084,397,079x = 268,986,682,904,154,603,520
  5. Step 5: Solve for x
    x = 268,986,682,904,154,603,520/7,084,397,079
  6. Step 6: Final answer
    x = 37,968,888,517.20

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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.