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Finding the Third Proportional to 824,372,512 and 1,777,881,522

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Solution

The third proportional to 824,372,512 and 1,777,881,522 is: 3,834,265,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,512 : 1,777,881,522 = 1,777,881,522 : x
  2. Step 2: Convert to fraction form
    824,372,512/1,777,881,522 = 1,777,881,522/x
  3. Step 3: Cross multiply
    824,372,512x = 1,777,881,522 × 1,777,881,522
  4. Step 4: Simplify right side
    824,372,512x = 3,160,862,706,269,036,544
  5. Step 5: Solve for x
    x = 3,160,862,706,269,036,544/824,372,512
  6. Step 6: Final answer
    x = 3,834,265,044.33

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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.