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Finding the Third Proportional to 17,767,275,744,532 and 38,688,767,162,059

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Solution

The third proportional to 17,767,275,744,532 and 38,688,767,162,059 is: 84,245,932,018,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767,275,744,532 : 38,688,767,162,059 = 38,688,767,162,059 : x
  2. Step 2: Convert to fraction form
    17,767,275,744,532/38,688,767,162,059 = 38,688,767,162,059/x
  3. Step 3: Cross multiply
    17,767,275,744,532x = 38,688,767,162,059 × 38,688,767,162,059
  4. Step 4: Simplify right side
    17,767,275,744,532x = 1,496,820,704,520,014,856,447,852,544
  5. Step 5: Solve for x
    x = 1,496,820,704,520,014,856,447,852,544/17,767,275,744,532
  6. Step 6: Final answer
    x = 84,245,932,018,062.56

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