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Finding the Third Proportional to 307,982,094 and 641,440,552

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Solution

The third proportional to 307,982,094 and 641,440,552 is: 1,335,941,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982,094 : 641,440,552 = 641,440,552 : x
  2. Step 2: Convert to fraction form
    307,982,094/641,440,552 = 641,440,552/x
  3. Step 3: Cross multiply
    307,982,094x = 641,440,552 × 641,440,552
  4. Step 4: Simplify right side
    307,982,094x = 411,445,981,750,064,704
  5. Step 5: Solve for x
    x = 411,445,981,750,064,704/307,982,094
  6. Step 6: Final answer
    x = 1,335,941,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.