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Finding the Third Proportional to 994,373,651.50 and 1,382,597,080.63

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Solution

The third proportional to 994,373,651.50 and 1,382,597,080.63 is: 1,922,390,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,373,651.50 : 1,382,597,080.63 = 1,382,597,080.63 : x
  2. Step 2: Convert to fraction form
    994,373,651.50/1,382,597,080.63 = 1,382,597,080.63/x
  3. Step 3: Cross multiply
    994,373,651.50x = 1,382,597,080.63 × 1,382,597,080.63
  4. Step 4: Simplify right side
    994,373,651.50x = 1,911,574,687,352,772,864
  5. Step 5: Solve for x
    x = 1,911,574,687,352,772,864/994,373,651.50
  6. Step 6: Final answer
    x = 1,922,390,727.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.