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Finding the Third Proportional to 994,373,650.75 and 1,382,597,079.50

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Solution

The third proportional to 994,373,650.75 and 1,382,597,079.50 is: 1,922,390,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,373,650.75 : 1,382,597,079.50 = 1,382,597,079.50 : x
  2. Step 2: Convert to fraction form
    994,373,650.75/1,382,597,079.50 = 1,382,597,079.50/x
  3. Step 3: Cross multiply
    994,373,650.75x = 1,382,597,079.50 × 1,382,597,079.50
  4. Step 4: Simplify right side
    994,373,650.75x = 1,911,574,684,241,929,216
  5. Step 5: Solve for x
    x = 1,911,574,684,241,929,216/994,373,650.75
  6. Step 6: Final answer
    x = 1,922,390,725.86

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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.