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Finding the Third Proportional to 9,889,138 and 20,536,192

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Solution

The third proportional to 9,889,138 and 20,536,192 is: 42,646,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889,138 : 20,536,192 = 20,536,192 : x
  2. Step 2: Convert to fraction form
    9,889,138/20,536,192 = 20,536,192/x
  3. Step 3: Cross multiply
    9,889,138x = 20,536,192 × 20,536,192
  4. Step 4: Simplify right side
    9,889,138x = 421,735,181,860,864
  5. Step 5: Solve for x
    x = 421,735,181,860,864/9,889,138
  6. Step 6: Final answer
    x = 42,646,303.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.