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Finding the Third Proportional to 299,773,462 and 693,932,347

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Solution

The third proportional to 299,773,462 and 693,932,347 is: 1,606,353,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,773,462 : 693,932,347 = 693,932,347 : x
  2. Step 2: Convert to fraction form
    299,773,462/693,932,347 = 693,932,347/x
  3. Step 3: Cross multiply
    299,773,462x = 693,932,347 × 693,932,347
  4. Step 4: Simplify right side
    299,773,462x = 481,542,102,212,928,384
  5. Step 5: Solve for x
    x = 481,542,102,212,928,384/299,773,462
  6. Step 6: Final answer
    x = 1,606,353,340.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.