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Finding the Third Proportional to 51,245,323,072 and 110,353,737,344

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Solution

The third proportional to 51,245,323,072 and 110,353,737,344 is: 237,640,171,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,245,323,072 : 110,353,737,344 = 110,353,737,344 : x
  2. Step 2: Convert to fraction form
    51,245,323,072/110,353,737,344 = 110,353,737,344/x
  3. Step 3: Cross multiply
    51,245,323,072x = 110,353,737,344 × 110,353,737,344
  4. Step 4: Simplify right side
    51,245,323,072x = 12,177,947,345,788,539,502,592
  5. Step 5: Solve for x
    x = 12,177,947,345,788,539,502,592/51,245,323,072
  6. Step 6: Final answer
    x = 237,640,171,156.27

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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.