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Finding the Third Proportional to 344,721,462 and 737,218,668

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Solution

The third proportional to 344,721,462 and 737,218,668 is: 1,576,610,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,721,462 : 737,218,668 = 737,218,668 : x
  2. Step 2: Convert to fraction form
    344,721,462/737,218,668 = 737,218,668/x
  3. Step 3: Cross multiply
    344,721,462x = 737,218,668 × 737,218,668
  4. Step 4: Simplify right side
    344,721,462x = 543,491,364,447,694,208
  5. Step 5: Solve for x
    x = 543,491,364,447,694,208/344,721,462
  6. Step 6: Final answer
    x = 1,576,610,174.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.