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Finding the Third Proportional to 824,372,662 and 1,777,881,824

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Solution

The third proportional to 824,372,662 and 1,777,881,824 is: 3,834,265,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,662 : 1,777,881,824 = 1,777,881,824 : x
  2. Step 2: Convert to fraction form
    824,372,662/1,777,881,824 = 1,777,881,824/x
  3. Step 3: Cross multiply
    824,372,662x = 1,777,881,824 × 1,777,881,824
  4. Step 4: Simplify right side
    824,372,662x = 3,160,863,780,109,566,976
  5. Step 5: Solve for x
    x = 3,160,863,780,109,566,976/824,372,662
  6. Step 6: Final answer
    x = 3,834,265,649.28

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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.