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Finding the Third Proportional to 824,372,562 and 1,777,881,620

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Solution

The third proportional to 824,372,562 and 1,777,881,620 is: 3,834,265,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,562 : 1,777,881,620 = 1,777,881,620 : x
  2. Step 2: Convert to fraction form
    824,372,562/1,777,881,620 = 1,777,881,620/x
  3. Step 3: Cross multiply
    824,372,562x = 1,777,881,620 × 1,777,881,620
  4. Step 4: Simplify right side
    824,372,562x = 3,160,863,054,733,824,512
  5. Step 5: Solve for x
    x = 3,160,863,054,733,824,512/824,372,562
  6. Step 6: Final answer
    x = 3,834,265,234.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.