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Finding the Third Proportional to 9,233,684 and 20,032,288

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Solution

The third proportional to 9,233,684 and 20,032,288 is: 43,459,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233,684 : 20,032,288 = 20,032,288 : x
  2. Step 2: Convert to fraction form
    9,233,684/20,032,288 = 20,032,288/x
  3. Step 3: Cross multiply
    9,233,684x = 20,032,288 × 20,032,288
  4. Step 4: Simplify right side
    9,233,684x = 401,292,562,514,944
  5. Step 5: Solve for x
    x = 401,292,562,514,944/9,233,684
  6. Step 6: Final answer
    x = 43,459,637.83

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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.