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Finding the Third Proportional to 312,995,367,474 and 677,963,983,309

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Solution

The third proportional to 312,995,367,474 and 677,963,983,309 is: 1,468,504,682,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995,367,474 : 677,963,983,309 = 677,963,983,309 : x
  2. Step 2: Convert to fraction form
    312,995,367,474/677,963,983,309 = 677,963,983,309/x
  3. Step 3: Cross multiply
    312,995,367,474x = 677,963,983,309 × 677,963,983,309
  4. Step 4: Simplify right side
    312,995,367,474x = 459,635,162,664,206,029,815,808
  5. Step 5: Solve for x
    x = 459,635,162,664,206,029,815,808/312,995,367,474
  6. Step 6: Final answer
    x = 1,468,504,682,269.42

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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.