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Finding the Third Proportional to 19,259,839,034 and 27,122,097,489

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Solution

The third proportional to 19,259,839,034 and 27,122,097,489 is: 38,193,889,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,259,839,034 : 27,122,097,489 = 27,122,097,489 : x
  2. Step 2: Convert to fraction form
    19,259,839,034/27,122,097,489 = 27,122,097,489/x
  3. Step 3: Cross multiply
    19,259,839,034x = 27,122,097,489 × 27,122,097,489
  4. Step 4: Simplify right side
    19,259,839,034x = 735,608,172,202,820,108,288
  5. Step 5: Solve for x
    x = 735,608,172,202,820,108,288/19,259,839,034
  6. Step 6: Final answer
    x = 38,193,889,933.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.