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Finding the Third Proportional to 11,229,349,934 and 17,443,315,022

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Solution

The third proportional to 11,229,349,934 and 17,443,315,022 is: 27,095,890,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229,349,934 : 17,443,315,022 = 17,443,315,022 : x
  2. Step 2: Convert to fraction form
    11,229,349,934/17,443,315,022 = 17,443,315,022/x
  3. Step 3: Cross multiply
    11,229,349,934x = 17,443,315,022 × 17,443,315,022
  4. Step 4: Simplify right side
    11,229,349,934x = 304,269,238,956,730,875,904
  5. Step 5: Solve for x
    x = 304,269,238,956,730,875,904/11,229,349,934
  6. Step 6: Final answer
    x = 27,095,890,745.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.