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Finding the Third Proportional to 1,634,181,024 and 2,445,481,536

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Solution

The third proportional to 1,634,181,024 and 2,445,481,536 is: 3,659,557,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,181,024 : 2,445,481,536 = 2,445,481,536 : x
  2. Step 2: Convert to fraction form
    1,634,181,024/2,445,481,536 = 2,445,481,536/x
  3. Step 3: Cross multiply
    1,634,181,024x = 2,445,481,536 × 2,445,481,536
  4. Step 4: Simplify right side
    1,634,181,024x = 5,980,379,942,916,919,296
  5. Step 5: Solve for x
    x = 5,980,379,942,916,919,296/1,634,181,024
  6. Step 6: Final answer
    x = 3,659,557,818.31

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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.