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Finding the Third Proportional to 3,433,886,311.50 and 7,438,242,096

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Solution

The third proportional to 3,433,886,311.50 and 7,438,242,096 is: 16,112,194,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,886,311.50 : 7,438,242,096 = 7,438,242,096 : x
  2. Step 2: Convert to fraction form
    3,433,886,311.50/7,438,242,096 = 7,438,242,096/x
  3. Step 3: Cross multiply
    3,433,886,311.50x = 7,438,242,096 × 7,438,242,096
  4. Step 4: Simplify right side
    3,433,886,311.50x = 55,327,445,478,706,470,912
  5. Step 5: Solve for x
    x = 55,327,445,478,706,470,912/3,433,886,311.50
  6. Step 6: Final answer
    x = 16,112,194,889.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.