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Finding the Third Proportional to 21,667,318,882 and 30,512,359,632

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Solution

The third proportional to 21,667,318,882 and 30,512,359,632 is: 42,968,126,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667,318,882 : 30,512,359,632 = 30,512,359,632 : x
  2. Step 2: Convert to fraction form
    21,667,318,882/30,512,359,632 = 30,512,359,632/x
  3. Step 3: Cross multiply
    21,667,318,882x = 30,512,359,632 × 30,512,359,632
  4. Step 4: Simplify right side
    21,667,318,882x = 931,004,090,312,503,197,696
  5. Step 5: Solve for x
    x = 931,004,090,312,503,197,696/21,667,318,882
  6. Step 6: Final answer
    x = 42,968,126,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.