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Finding the Third Proportional to 4,854,040,092,711 and 10,562,586,778,460

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Solution

The third proportional to 4,854,040,092,711 and 10,562,586,778,460 is: 22,984,614,325,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854,040,092,711 : 10,562,586,778,460 = 10,562,586,778,460 : x
  2. Step 2: Convert to fraction form
    4,854,040,092,711/10,562,586,778,460 = 10,562,586,778,460/x
  3. Step 3: Cross multiply
    4,854,040,092,711x = 10,562,586,778,460 × 10,562,586,778,460
  4. Step 4: Simplify right side
    4,854,040,092,711x = 111,568,239,452,497,997,316,751,360
  5. Step 5: Solve for x
    x = 111,568,239,452,497,997,316,751,360/4,854,040,092,711
  6. Step 6: Final answer
    x = 22,984,614,325,710.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.