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Finding the Third Proportional to 45,351,876 and 96,758,408

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Solution

The third proportional to 45,351,876 and 96,758,408 is: 206,434,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,351,876 : 96,758,408 = 96,758,408 : x
  2. Step 2: Convert to fraction form
    45,351,876/96,758,408 = 96,758,408/x
  3. Step 3: Cross multiply
    45,351,876x = 96,758,408 × 96,758,408
  4. Step 4: Simplify right side
    45,351,876x = 9,362,189,518,694,464
  5. Step 5: Solve for x
    x = 9,362,189,518,694,464/45,351,876
  6. Step 6: Final answer
    x = 206,434,448.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.