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Finding the Third Proportional to 733,532,048 and 1,097,393,456

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Solution

The third proportional to 733,532,048 and 1,097,393,456 is: 1,641,744,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,532,048 : 1,097,393,456 = 1,097,393,456 : x
  2. Step 2: Convert to fraction form
    733,532,048/1,097,393,456 = 1,097,393,456/x
  3. Step 3: Cross multiply
    733,532,048x = 1,097,393,456 × 1,097,393,456
  4. Step 4: Simplify right side
    733,532,048x = 1,204,272,397,271,623,936
  5. Step 5: Solve for x
    x = 1,204,272,397,271,623,936/733,532,048
  6. Step 6: Final answer
    x = 1,641,744,761.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.