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Finding the Third Proportional to 11,744,349 and 17,967,541

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Solution

The third proportional to 11,744,349 and 17,967,541 is: 27,488,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,349 : 17,967,541 = 17,967,541 : x
  2. Step 2: Convert to fraction form
    11,744,349/17,967,541 = 17,967,541/x
  3. Step 3: Cross multiply
    11,744,349x = 17,967,541 × 17,967,541
  4. Step 4: Simplify right side
    11,744,349x = 322,832,529,586,681
  5. Step 5: Solve for x
    x = 322,832,529,586,681/11,744,349
  6. Step 6: Final answer
    x = 27,488,329.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.