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Finding the Third Proportional to 2,511,134,611 and 3,919,284,531

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Solution

The third proportional to 2,511,134,611 and 3,919,284,531 is: 6,117,072,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511,134,611 : 3,919,284,531 = 3,919,284,531 : x
  2. Step 2: Convert to fraction form
    2,511,134,611/3,919,284,531 = 3,919,284,531/x
  3. Step 3: Cross multiply
    2,511,134,611x = 3,919,284,531 × 3,919,284,531
  4. Step 4: Simplify right side
    2,511,134,611x = 15,360,791,234,935,889,920
  5. Step 5: Solve for x
    x = 15,360,791,234,935,889,920/2,511,134,611
  6. Step 6: Final answer
    x = 6,117,072,007.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.