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Finding the Third Proportional to 375,185,474 and 826,701,244

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Solution

The third proportional to 375,185,474 and 826,701,244 is: 1,821,592,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,185,474 : 826,701,244 = 826,701,244 : x
  2. Step 2: Convert to fraction form
    375,185,474/826,701,244 = 826,701,244/x
  3. Step 3: Cross multiply
    375,185,474x = 826,701,244 × 826,701,244
  4. Step 4: Simplify right side
    375,185,474x = 683,434,946,831,147,520
  5. Step 5: Solve for x
    x = 683,434,946,831,147,520/375,185,474
  6. Step 6: Final answer
    x = 1,821,592,236.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.