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Finding the Third Proportional to 17,465,086,652 and 37,990,237,206

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Solution

The third proportional to 17,465,086,652 and 37,990,237,206 is: 82,636,757,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465,086,652 : 37,990,237,206 = 37,990,237,206 : x
  2. Step 2: Convert to fraction form
    17,465,086,652/37,990,237,206 = 37,990,237,206/x
  3. Step 3: Cross multiply
    17,465,086,652x = 37,990,237,206 × 37,990,237,206
  4. Step 4: Simplify right side
    17,465,086,652x = 1,443,258,122,968,146,640,896
  5. Step 5: Solve for x
    x = 1,443,258,122,968,146,640,896/17,465,086,652
  6. Step 6: Final answer
    x = 82,636,757,075.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.