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Finding the Third Proportional to 416,354,142 and 914,419,786.50

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Solution

The third proportional to 416,354,142 and 914,419,786.50 is: 2,008,298,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,354,142 : 914,419,786.50 = 914,419,786.50 : x
  2. Step 2: Convert to fraction form
    416,354,142/914,419,786.50 = 914,419,786.50/x
  3. Step 3: Cross multiply
    416,354,142x = 914,419,786.50 × 914,419,786.50
  4. Step 4: Simplify right side
    416,354,142x = 836,163,545,942,705,536
  5. Step 5: Solve for x
    x = 836,163,545,942,705,536/416,354,142
  6. Step 6: Final answer
    x = 2,008,298,853.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.