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Finding the Third Proportional to 46,667,142 and 73,040,265

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Solution

The third proportional to 46,667,142 and 73,040,265 is: 114,317,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,667,142 : 73,040,265 = 73,040,265 : x
  2. Step 2: Convert to fraction form
    46,667,142/73,040,265 = 73,040,265/x
  3. Step 3: Cross multiply
    46,667,142x = 73,040,265 × 73,040,265
  4. Step 4: Simplify right side
    46,667,142x = 5,334,880,311,270,225
  5. Step 5: Solve for x
    x = 5,334,880,311,270,225/46,667,142
  6. Step 6: Final answer
    x = 114,317,699.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.