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Finding the Third Proportional to 17,444,121,571 and 38,045,445,562

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Solution

The third proportional to 17,444,121,571 and 38,045,445,562 is: 82,976,716,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,444,121,571 : 38,045,445,562 = 38,045,445,562 : x
  2. Step 2: Convert to fraction form
    17,444,121,571/38,045,445,562 = 38,045,445,562/x
  3. Step 3: Cross multiply
    17,444,121,571x = 38,045,445,562 × 38,045,445,562
  4. Step 4: Simplify right side
    17,444,121,571x = 1,447,455,928,011,105,501,184
  5. Step 5: Solve for x
    x = 1,447,455,928,011,105,501,184/17,444,121,571
  6. Step 6: Final answer
    x = 82,976,716,375.18

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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.