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Finding the Third Proportional to 4,631,410,081 and 7,156,296,433.50

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Solution

The third proportional to 4,631,410,081 and 7,156,296,433.50 is: 11,057,664,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,410,081 : 7,156,296,433.50 = 7,156,296,433.50 : x
  2. Step 2: Convert to fraction form
    4,631,410,081/7,156,296,433.50 = 7,156,296,433.50/x
  3. Step 3: Cross multiply
    4,631,410,081x = 7,156,296,433.50 × 7,156,296,433.50
  4. Step 4: Simplify right side
    4,631,410,081x = 51,212,578,644,124,819,456
  5. Step 5: Solve for x
    x = 51,212,578,644,124,819,456/4,631,410,081
  6. Step 6: Final answer
    x = 11,057,664,458.22

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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.