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Finding the Third Proportional to 51,658,236,032 and 80,207,148,722

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Solution

The third proportional to 51,658,236,032 and 80,207,148,722 is: 124,533,611,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658,236,032 : 80,207,148,722 = 80,207,148,722 : x
  2. Step 2: Convert to fraction form
    51,658,236,032/80,207,148,722 = 80,207,148,722/x
  3. Step 3: Cross multiply
    51,658,236,032x = 80,207,148,722 × 80,207,148,722
  4. Step 4: Simplify right side
    51,658,236,032x = 6,433,186,706,113,025,802,240
  5. Step 5: Solve for x
    x = 6,433,186,706,113,025,802,240/51,658,236,032
  6. Step 6: Final answer
    x = 124,533,611,680.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.