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Finding the Third Proportional to 17,444,121,573 and 38,045,445,566

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Solution

The third proportional to 17,444,121,573 and 38,045,445,566 is: 82,976,716,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,444,121,573 : 38,045,445,566 = 38,045,445,566 : x
  2. Step 2: Convert to fraction form
    17,444,121,573/38,045,445,566 = 38,045,445,566/x
  3. Step 3: Cross multiply
    17,444,121,573x = 38,045,445,566 × 38,045,445,566
  4. Step 4: Simplify right side
    17,444,121,573x = 1,447,455,928,315,469,103,104
  5. Step 5: Solve for x
    x = 1,447,455,928,315,469,103,104/17,444,121,573
  6. Step 6: Final answer
    x = 82,976,716,383.12

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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.