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Finding the Third Proportional to 3,741,193,048 and 5,230,408,066

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Solution

The third proportional to 3,741,193,048 and 5,230,408,066 is: 7,312,418,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,193,048 : 5,230,408,066 = 5,230,408,066 : x
  2. Step 2: Convert to fraction form
    3,741,193,048/5,230,408,066 = 5,230,408,066/x
  3. Step 3: Cross multiply
    3,741,193,048x = 5,230,408,066 × 5,230,408,066
  4. Step 4: Simplify right side
    3,741,193,048x = 27,357,168,536,877,858,816
  5. Step 5: Solve for x
    x = 27,357,168,536,877,858,816/3,741,193,048
  6. Step 6: Final answer
    x = 7,312,418,307.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.