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Finding the Third Proportional to 9,295,824 and 20,135,310

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Solution

The third proportional to 9,295,824 and 20,135,310 is: 43,614,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295,824 : 20,135,310 = 20,135,310 : x
  2. Step 2: Convert to fraction form
    9,295,824/20,135,310 = 20,135,310/x
  3. Step 3: Cross multiply
    9,295,824x = 20,135,310 × 20,135,310
  4. Step 4: Simplify right side
    9,295,824x = 405,430,708,796,100
  5. Step 5: Solve for x
    x = 405,430,708,796,100/9,295,824
  6. Step 6: Final answer
    x = 43,614,284.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.