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Finding the Third Proportional to 312,361,705,930 and 439,874,113,794

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Solution

The third proportional to 312,361,705,930 and 439,874,113,794 is: 619,439,682,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,361,705,930 : 439,874,113,794 = 439,874,113,794 : x
  2. Step 2: Convert to fraction form
    312,361,705,930/439,874,113,794 = 439,874,113,794/x
  3. Step 3: Cross multiply
    312,361,705,930x = 439,874,113,794 × 439,874,113,794
  4. Step 4: Simplify right side
    312,361,705,930x = 193,489,235,986,056,864,595,968
  5. Step 5: Solve for x
    x = 193,489,235,986,056,864,595,968/312,361,705,930
  6. Step 6: Final answer
    x = 619,439,682,626.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.