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Finding the Third Proportional to 824,372,380 and 1,777,881,274

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Solution

The third proportional to 824,372,380 and 1,777,881,274 is: 3,834,264,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,380 : 1,777,881,274 = 1,777,881,274 : x
  2. Step 2: Convert to fraction form
    824,372,380/1,777,881,274 = 1,777,881,274/x
  3. Step 3: Cross multiply
    824,372,380x = 1,777,881,274 × 1,777,881,274
  4. Step 4: Simplify right side
    824,372,380x = 3,160,861,824,439,863,296
  5. Step 5: Solve for x
    x = 3,160,861,824,439,863,296/824,372,380
  6. Step 6: Final answer
    x = 3,834,264,588.58

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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.