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Finding the Third Proportional to 436,067,321.75 and 670,266,737.25

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Solution

The third proportional to 436,067,321.75 and 670,266,737.25 is: 1,030,248,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,067,321.75 : 670,266,737.25 = 670,266,737.25 : x
  2. Step 2: Convert to fraction form
    436,067,321.75/670,266,737.25 = 670,266,737.25/x
  3. Step 3: Cross multiply
    436,067,321.75x = 670,266,737.25 × 670,266,737.25
  4. Step 4: Simplify right side
    436,067,321.75x = 449,257,499,063,760,512
  5. Step 5: Solve for x
    x = 449,257,499,063,760,512/436,067,321.75
  6. Step 6: Final answer
    x = 1,030,248,029.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.