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Finding the Third Proportional to 9,827,247 and 21,264,198

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Solution

The third proportional to 9,827,247 and 21,264,198 is: 46,011,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,247 : 21,264,198 = 21,264,198 : x
  2. Step 2: Convert to fraction form
    9,827,247/21,264,198 = 21,264,198/x
  3. Step 3: Cross multiply
    9,827,247x = 21,264,198 × 21,264,198
  4. Step 4: Simplify right side
    9,827,247x = 452,166,116,583,204
  5. Step 5: Solve for x
    x = 452,166,116,583,204/9,827,247
  6. Step 6: Final answer
    x = 46,011,473.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.