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Finding the Third Proportional to 824,372,634 and 1,777,881,764

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Solution

The third proportional to 824,372,634 and 1,777,881,764 is: 3,834,265,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,634 : 1,777,881,764 = 1,777,881,764 : x
  2. Step 2: Convert to fraction form
    824,372,634/1,777,881,764 = 1,777,881,764/x
  3. Step 3: Cross multiply
    824,372,634x = 1,777,881,764 × 1,777,881,764
  4. Step 4: Simplify right side
    824,372,634x = 3,160,863,566,763,751,936
  5. Step 5: Solve for x
    x = 3,160,863,566,763,751,936/824,372,634
  6. Step 6: Final answer
    x = 3,834,265,520.71

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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.