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Finding the Third Proportional to 360,395,626,800 and 490,797,328,446

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Solution

The third proportional to 360,395,626,800 and 490,797,328,446 is: 668,382,188,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,395,626,800 : 490,797,328,446 = 490,797,328,446 : x
  2. Step 2: Convert to fraction form
    360,395,626,800/490,797,328,446 = 490,797,328,446/x
  3. Step 3: Cross multiply
    360,395,626,800x = 490,797,328,446 × 490,797,328,446
  4. Step 4: Simplify right side
    360,395,626,800x = 240,882,017,609,730,809,135,104
  5. Step 5: Solve for x
    x = 240,882,017,609,730,809,135,104/360,395,626,800
  6. Step 6: Final answer
    x = 668,382,188,065.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.