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Finding the Third Proportional to 312,995,367,471.64 and 677,963,983,304.80

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Solution

The third proportional to 312,995,367,471.64 and 677,963,983,304.80 is: 1,468,504,682,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995,367,471.64 : 677,963,983,304.80 = 677,963,983,304.80 : x
  2. Step 2: Convert to fraction form
    312,995,367,471.64/677,963,983,304.80 = 677,963,983,304.80/x
  3. Step 3: Cross multiply
    312,995,367,471.64x = 677,963,983,304.80 × 677,963,983,304.80
  4. Step 4: Simplify right side
    312,995,367,471.64x = 459,635,162,658,511,171,616,768
  5. Step 5: Solve for x
    x = 459,635,162,658,511,171,616,768/312,995,367,471.64
  6. Step 6: Final answer
    x = 1,468,504,682,262.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.