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Finding the Third Proportional to 33,022,654 and 70,040,966

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Solution

The third proportional to 33,022,654 and 70,040,966 is: 148,556,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022,654 : 70,040,966 = 70,040,966 : x
  2. Step 2: Convert to fraction form
    33,022,654/70,040,966 = 70,040,966/x
  3. Step 3: Cross multiply
    33,022,654x = 70,040,966 × 70,040,966
  4. Step 4: Simplify right side
    33,022,654x = 4,905,736,918,213,156
  5. Step 5: Solve for x
    x = 4,905,736,918,213,156/33,022,654
  6. Step 6: Final answer
    x = 148,556,712.56

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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.