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Finding the Third Proportional to 24,348,481,497.56 and 52,361,325,734.91

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Solution

The third proportional to 24,348,481,497.56 and 52,361,325,734.91 is: 112,602,850,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348,481,497.56 : 52,361,325,734.91 = 52,361,325,734.91 : x
  2. Step 2: Convert to fraction form
    24,348,481,497.56/52,361,325,734.91 = 52,361,325,734.91/x
  3. Step 3: Cross multiply
    24,348,481,497.56x = 52,361,325,734.91 × 52,361,325,734.91
  4. Step 4: Simplify right side
    24,348,481,497.56x = 2,741,708,432,717,034,029,056
  5. Step 5: Solve for x
    x = 2,741,708,432,717,034,029,056/24,348,481,497.56
  6. Step 6: Final answer
    x = 112,602,850,941.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.