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Finding the Third Proportional to 10,314,021 and 21,475,662

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Solution

The third proportional to 10,314,021 and 21,475,662 is: 44,716,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314,021 : 21,475,662 = 21,475,662 : x
  2. Step 2: Convert to fraction form
    10,314,021/21,475,662 = 21,475,662/x
  3. Step 3: Cross multiply
    10,314,021x = 21,475,662 × 21,475,662
  4. Step 4: Simplify right side
    10,314,021x = 461,204,058,338,244
  5. Step 5: Solve for x
    x = 461,204,058,338,244/10,314,021
  6. Step 6: Final answer
    x = 44,716,222.54

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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.