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Finding the Third Proportional to 10,316,233 and 21,469,762

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Solution

The third proportional to 10,316,233 and 21,469,762 is: 44,682,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316,233 : 21,469,762 = 21,469,762 : x
  2. Step 2: Convert to fraction form
    10,316,233/21,469,762 = 21,469,762/x
  3. Step 3: Cross multiply
    10,316,233x = 21,469,762 × 21,469,762
  4. Step 4: Simplify right side
    10,316,233x = 460,950,680,336,644
  5. Step 5: Solve for x
    x = 460,950,680,336,644/10,316,233
  6. Step 6: Final answer
    x = 44,682,073.42

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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.