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Finding the Third Proportional to 2,687,184,959,031 and 5,922,103,794,747.80

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Solution

The third proportional to 2,687,184,959,031 and 5,922,103,794,747.80 is: 13,051,320,951,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,184,959,031 : 5,922,103,794,747.80 = 5,922,103,794,747.80 : x
  2. Step 2: Convert to fraction form
    2,687,184,959,031/5,922,103,794,747.80 = 5,922,103,794,747.80/x
  3. Step 3: Cross multiply
    2,687,184,959,031x = 5,922,103,794,747.80 × 5,922,103,794,747.80
  4. Step 4: Simplify right side
    2,687,184,959,031x = 35,071,313,355,766,291,255,787,520
  5. Step 5: Solve for x
    x = 35,071,313,355,766,291,255,787,520/2,687,184,959,031
  6. Step 6: Final answer
    x = 13,051,320,951,280.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.