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Finding the Third Proportional to 4,854,040,092,722 and 10,562,586,778,482

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Solution

The third proportional to 4,854,040,092,722 and 10,562,586,778,482 is: 22,984,614,325,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854,040,092,722 : 10,562,586,778,482 = 10,562,586,778,482 : x
  2. Step 2: Convert to fraction form
    4,854,040,092,722/10,562,586,778,482 = 10,562,586,778,482/x
  3. Step 3: Cross multiply
    4,854,040,092,722x = 10,562,586,778,482 × 10,562,586,778,482
  4. Step 4: Simplify right side
    4,854,040,092,722x = 111,568,239,452,962,747,137,916,928
  5. Step 5: Solve for x
    x = 111,568,239,452,962,747,137,916,928/4,854,040,092,722
  6. Step 6: Final answer
    x = 22,984,614,325,754.08

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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.