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Finding the Third Proportional to 2,961,288,144 and 6,432,339,742

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Solution

The third proportional to 2,961,288,144 and 6,432,339,742 is: 13,971,958,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,288,144 : 6,432,339,742 = 6,432,339,742 : x
  2. Step 2: Convert to fraction form
    2,961,288,144/6,432,339,742 = 6,432,339,742/x
  3. Step 3: Cross multiply
    2,961,288,144x = 6,432,339,742 × 6,432,339,742
  4. Step 4: Simplify right side
    2,961,288,144x = 41,374,994,556,512,624,640
  5. Step 5: Solve for x
    x = 41,374,994,556,512,624,640/2,961,288,144
  6. Step 6: Final answer
    x = 13,971,958,331.83

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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.