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Finding the Third Proportional to 14,274,191,096 and 30,920,311,024

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Solution

The third proportional to 14,274,191,096 and 30,920,311,024 is: 66,978,620,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274,191,096 : 30,920,311,024 = 30,920,311,024 : x
  2. Step 2: Convert to fraction form
    14,274,191,096/30,920,311,024 = 30,920,311,024/x
  3. Step 3: Cross multiply
    14,274,191,096x = 30,920,311,024 × 30,920,311,024
  4. Step 4: Simplify right side
    14,274,191,096x = 956,065,633,820,895,870,976
  5. Step 5: Solve for x
    x = 956,065,633,820,895,870,976/14,274,191,096
  6. Step 6: Final answer
    x = 66,978,620,882.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.