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Finding the Third Proportional to 30,203,406 and 45,308,349

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Solution

The third proportional to 30,203,406 and 45,308,349 is: 67,967,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203,406 : 45,308,349 = 45,308,349 : x
  2. Step 2: Convert to fraction form
    30,203,406/45,308,349 = 45,308,349/x
  3. Step 3: Cross multiply
    30,203,406x = 45,308,349 × 45,308,349
  4. Step 4: Simplify right side
    30,203,406x = 2,052,846,489,105,801
  5. Step 5: Solve for x
    x = 2,052,846,489,105,801/30,203,406
  6. Step 6: Final answer
    x = 67,967,383.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.