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Finding the Third Proportional to 41,573,365,954 and 85,350,662,284

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Solution

The third proportional to 41,573,365,954 and 85,350,662,284 is: 175,226,022,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,365,954 : 85,350,662,284 = 85,350,662,284 : x
  2. Step 2: Convert to fraction form
    41,573,365,954/85,350,662,284 = 85,350,662,284/x
  3. Step 3: Cross multiply
    41,573,365,954x = 85,350,662,284 × 85,350,662,284
  4. Step 4: Simplify right side
    41,573,365,954x = 7,284,735,552,317,420,470,272
  5. Step 5: Solve for x
    x = 7,284,735,552,317,420,470,272/41,573,365,954
  6. Step 6: Final answer
    x = 175,226,022,361.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.