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Finding the Third Proportional to 994,373,651.63 and 1,382,597,080.81

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Solution

The third proportional to 994,373,651.63 and 1,382,597,080.81 is: 1,922,390,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,373,651.63 : 1,382,597,080.81 = 1,382,597,080.81 : x
  2. Step 2: Convert to fraction form
    994,373,651.63/1,382,597,080.81 = 1,382,597,080.81/x
  3. Step 3: Cross multiply
    994,373,651.63x = 1,382,597,080.81 × 1,382,597,080.81
  4. Step 4: Simplify right side
    994,373,651.63x = 1,911,574,687,871,246,592
  5. Step 5: Solve for x
    x = 1,911,574,687,871,246,592/994,373,651.63
  6. Step 6: Final answer
    x = 1,922,390,727.82

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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.