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Finding the Third Proportional to 33,948,396 and 69,465,600

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Solution

The third proportional to 33,948,396 and 69,465,600 is: 142,141,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948,396 : 69,465,600 = 69,465,600 : x
  2. Step 2: Convert to fraction form
    33,948,396/69,465,600 = 69,465,600/x
  3. Step 3: Cross multiply
    33,948,396x = 69,465,600 × 69,465,600
  4. Step 4: Simplify right side
    33,948,396x = 4,825,469,583,360,000
  5. Step 5: Solve for x
    x = 4,825,469,583,360,000/33,948,396
  6. Step 6: Final answer
    x = 142,141,313.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.