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Finding the Third Proportional to 24,815,922,380,328 and 54,306,641,984,890

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Solution

The third proportional to 24,815,922,380,328 and 54,306,641,984,890 is: 118,843,511,777,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815,922,380,328 : 54,306,641,984,890 = 54,306,641,984,890 : x
  2. Step 2: Convert to fraction form
    24,815,922,380,328/54,306,641,984,890 = 54,306,641,984,890/x
  3. Step 3: Cross multiply
    24,815,922,380,328x = 54,306,641,984,890 × 54,306,641,984,890
  4. Step 4: Simplify right side
    24,815,922,380,328x = 2,949,211,363,675,017,450,635,657,216
  5. Step 5: Solve for x
    x = 2,949,211,363,675,017,450,635,657,216/24,815,922,380,328
  6. Step 6: Final answer
    x = 118,843,511,777,458.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.