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Finding the Third Proportional to 2,540,758,042 and 5,503,611,548

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Solution

The third proportional to 2,540,758,042 and 5,503,611,548 is: 11,921,536,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,758,042 : 5,503,611,548 = 5,503,611,548 : x
  2. Step 2: Convert to fraction form
    2,540,758,042/5,503,611,548 = 5,503,611,548/x
  3. Step 3: Cross multiply
    2,540,758,042x = 5,503,611,548 × 5,503,611,548
  4. Step 4: Simplify right side
    2,540,758,042x = 30,289,740,071,278,956,544
  5. Step 5: Solve for x
    x = 30,289,740,071,278,956,544/2,540,758,042
  6. Step 6: Final answer
    x = 11,921,536,632.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.