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Finding the Third Proportional to 9,231,786 and 21,369,938

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Solution

The third proportional to 9,231,786 and 21,369,938 is: 49,467,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231,786 : 21,369,938 = 21,369,938 : x
  2. Step 2: Convert to fraction form
    9,231,786/21,369,938 = 21,369,938/x
  3. Step 3: Cross multiply
    9,231,786x = 21,369,938 × 21,369,938
  4. Step 4: Simplify right side
    9,231,786x = 456,674,250,123,844
  5. Step 5: Solve for x
    x = 456,674,250,123,844/9,231,786
  6. Step 6: Final answer
    x = 49,467,594.91

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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.