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Finding the Third Proportional to 1,809,311,237 and 3,939,006,282.50

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Solution

The third proportional to 1,809,311,237 and 3,939,006,282.50 is: 8,575,512,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,311,237 : 3,939,006,282.50 = 3,939,006,282.50 : x
  2. Step 2: Convert to fraction form
    1,809,311,237/3,939,006,282.50 = 3,939,006,282.50/x
  3. Step 3: Cross multiply
    1,809,311,237x = 3,939,006,282.50 × 3,939,006,282.50
  4. Step 4: Simplify right side
    1,809,311,237x = 15,515,770,493,574,469,632
  5. Step 5: Solve for x
    x = 15,515,770,493,574,469,632/1,809,311,237
  6. Step 6: Final answer
    x = 8,575,512,148.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.