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Finding the Third Proportional to 29,868,622 and 46,932,667

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Solution

The third proportional to 29,868,622 and 46,932,667 is: 73,745,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868,622 : 46,932,667 = 46,932,667 : x
  2. Step 2: Convert to fraction form
    29,868,622/46,932,667 = 46,932,667/x
  3. Step 3: Cross multiply
    29,868,622x = 46,932,667 × 46,932,667
  4. Step 4: Simplify right side
    29,868,622x = 2,202,675,231,732,889
  5. Step 5: Solve for x
    x = 2,202,675,231,732,889/29,868,622
  6. Step 6: Final answer
    x = 73,745,458.75

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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.