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Finding the Third Proportional to 824,372,696 and 1,777,881,906

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Solution

The third proportional to 824,372,696 and 1,777,881,906 is: 3,834,265,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,696 : 1,777,881,906 = 1,777,881,906 : x
  2. Step 2: Convert to fraction form
    824,372,696/1,777,881,906 = 1,777,881,906/x
  3. Step 3: Cross multiply
    824,372,696x = 1,777,881,906 × 1,777,881,906
  4. Step 4: Simplify right side
    824,372,696x = 3,160,864,071,682,192,896
  5. Step 5: Solve for x
    x = 3,160,864,071,682,192,896/824,372,696
  6. Step 6: Final answer
    x = 3,834,265,844.83

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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.