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Finding the Third Proportional to 18,705,881,176 and 40,704,751,472

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Solution

The third proportional to 18,705,881,176 and 40,704,751,472 is: 88,575,180,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705,881,176 : 40,704,751,472 = 40,704,751,472 : x
  2. Step 2: Convert to fraction form
    18,705,881,176/40,704,751,472 = 40,704,751,472/x
  3. Step 3: Cross multiply
    18,705,881,176x = 40,704,751,472 × 40,704,751,472
  4. Step 4: Simplify right side
    18,705,881,176x = 1,656,876,792,397,286,080,512
  5. Step 5: Solve for x
    x = 1,656,876,792,397,286,080,512/18,705,881,176
  6. Step 6: Final answer
    x = 88,575,180,009.33

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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.