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Finding the Third Proportional to 4,201,056 and 9,219,024

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Solution

The third proportional to 4,201,056 and 9,219,024 is: 20,230,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,056 : 9,219,024 = 9,219,024 : x
  2. Step 2: Convert to fraction form
    4,201,056/9,219,024 = 9,219,024/x
  3. Step 3: Cross multiply
    4,201,056x = 9,219,024 × 9,219,024
  4. Step 4: Simplify right side
    4,201,056x = 84,990,403,512,576
  5. Step 5: Solve for x
    x = 84,990,403,512,576/4,201,056
  6. Step 6: Final answer
    x = 20,230,723.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.