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Finding the Third Proportional to 4,777,775,104 and 7,418,211,458

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Solution

The third proportional to 4,777,775,104 and 7,418,211,458 is: 11,517,884,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777,775,104 : 7,418,211,458 = 7,418,211,458 : x
  2. Step 2: Convert to fraction form
    4,777,775,104/7,418,211,458 = 7,418,211,458/x
  3. Step 3: Cross multiply
    4,777,775,104x = 7,418,211,458 × 7,418,211,458
  4. Step 4: Simplify right side
    4,777,775,104x = 55,029,861,235,602,489,344
  5. Step 5: Solve for x
    x = 55,029,861,235,602,489,344/4,777,775,104
  6. Step 6: Final answer
    x = 11,517,884,378.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.