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Finding the Third Proportional to 8,446,772,544 and 11,503,062,438

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Solution

The third proportional to 8,446,772,544 and 11,503,062,438 is: 15,665,207,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446,772,544 : 11,503,062,438 = 11,503,062,438 : x
  2. Step 2: Convert to fraction form
    8,446,772,544/11,503,062,438 = 11,503,062,438/x
  3. Step 3: Cross multiply
    8,446,772,544x = 11,503,062,438 × 11,503,062,438
  4. Step 4: Simplify right side
    8,446,772,544x = 132,320,445,452,526,501,888
  5. Step 5: Solve for x
    x = 132,320,445,452,526,501,888/8,446,772,544
  6. Step 6: Final answer
    x = 15,665,207,600.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.