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Finding the Third Proportional to 9,231,760 and 21,369,853

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Solution

The third proportional to 9,231,760 and 21,369,853 is: 49,467,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231,760 : 21,369,853 = 21,369,853 : x
  2. Step 2: Convert to fraction form
    9,231,760/21,369,853 = 21,369,853/x
  3. Step 3: Cross multiply
    9,231,760x = 21,369,853 × 21,369,853
  4. Step 4: Simplify right side
    9,231,760x = 456,670,617,241,609
  5. Step 5: Solve for x
    x = 456,670,617,241,609/9,231,760
  6. Step 6: Final answer
    x = 49,467,340.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.