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Finding the Third Proportional to 29,734,884.75 and 41,873,902.88

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Solution

The third proportional to 29,734,884.75 and 41,873,902.88 is: 58,968,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734,884.75 : 41,873,902.88 = 41,873,902.88 : x
  2. Step 2: Convert to fraction form
    29,734,884.75/41,873,902.88 = 41,873,902.88/x
  3. Step 3: Cross multiply
    29,734,884.75x = 41,873,902.88 × 41,873,902.88
  4. Step 4: Simplify right side
    29,734,884.75x = 1,753,423,741,984,933.25
  5. Step 5: Solve for x
    x = 1,753,423,741,984,933.25/29,734,884.75
  6. Step 6: Final answer
    x = 58,968,573.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.