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Finding the Third Proportional to 36,493,886 and 51,020,601

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Solution

The third proportional to 36,493,886 and 51,020,601 is: 71,329,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493,886 : 51,020,601 = 51,020,601 : x
  2. Step 2: Convert to fraction form
    36,493,886/51,020,601 = 51,020,601/x
  3. Step 3: Cross multiply
    36,493,886x = 51,020,601 × 51,020,601
  4. Step 4: Simplify right side
    36,493,886x = 2,603,101,726,401,201
  5. Step 5: Solve for x
    x = 2,603,101,726,401,201/36,493,886
  6. Step 6: Final answer
    x = 71,329,803.75

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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.