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Finding the Third Proportional to 11,754,378 and 17,809,011

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Solution

The third proportional to 11,754,378 and 17,809,011 is: 26,982,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,378 : 17,809,011 = 17,809,011 : x
  2. Step 2: Convert to fraction form
    11,754,378/17,809,011 = 17,809,011/x
  3. Step 3: Cross multiply
    11,754,378x = 17,809,011 × 17,809,011
  4. Step 4: Simplify right side
    11,754,378x = 317,160,872,798,121
  5. Step 5: Solve for x
    x = 317,160,872,798,121/11,754,378
  6. Step 6: Final answer
    x = 26,982,361.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.