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Finding the Third Proportional to 33,478,002 and 70,974,036

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Solution

The third proportional to 33,478,002 and 70,974,036 is: 150,466,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478,002 : 70,974,036 = 70,974,036 : x
  2. Step 2: Convert to fraction form
    33,478,002/70,974,036 = 70,974,036/x
  3. Step 3: Cross multiply
    33,478,002x = 70,974,036 × 70,974,036
  4. Step 4: Simplify right side
    33,478,002x = 5,037,313,786,129,296
  5. Step 5: Solve for x
    x = 5,037,313,786,129,296/33,478,002
  6. Step 6: Final answer
    x = 150,466,380.46

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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.