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Finding the Third Proportional to 39,612,430 and 83,993,977

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Solution

The third proportional to 39,612,430 and 83,993,977 is: 178,100,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,612,430 : 83,993,977 = 83,993,977 : x
  2. Step 2: Convert to fraction form
    39,612,430/83,993,977 = 83,993,977/x
  3. Step 3: Cross multiply
    39,612,430x = 83,993,977 × 83,993,977
  4. Step 4: Simplify right side
    39,612,430x = 7,054,988,172,276,529
  5. Step 5: Solve for x
    x = 7,054,988,172,276,529/39,612,430
  6. Step 6: Final answer
    x = 178,100,363.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.