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Finding the Third Proportional to 42,445,728 and 90,942,876

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Solution

The third proportional to 42,445,728 and 90,942,876 is: 194,851,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,445,728 : 90,942,876 = 90,942,876 : x
  2. Step 2: Convert to fraction form
    42,445,728/90,942,876 = 90,942,876/x
  3. Step 3: Cross multiply
    42,445,728x = 90,942,876 × 90,942,876
  4. Step 4: Simplify right side
    42,445,728x = 8,270,606,695,151,376
  5. Step 5: Solve for x
    x = 8,270,606,695,151,376/42,445,728
  6. Step 6: Final answer
    x = 194,851,333.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.