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Finding the Third Proportional to 36,690,950 and 78,634,094

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Solution

The third proportional to 36,690,950 and 78,634,094 is: 168,524,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,690,950 : 78,634,094 = 78,634,094 : x
  2. Step 2: Convert to fraction form
    36,690,950/78,634,094 = 78,634,094/x
  3. Step 3: Cross multiply
    36,690,950x = 78,634,094 × 78,634,094
  4. Step 4: Simplify right side
    36,690,950x = 6,183,320,739,200,836
  5. Step 5: Solve for x
    x = 6,183,320,739,200,836/36,690,950
  6. Step 6: Final answer
    x = 168,524,411.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.