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Finding the Third Proportional to 344,721,489 and 737,218,722

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Solution

The third proportional to 344,721,489 and 737,218,722 is: 1,576,610,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,721,489 : 737,218,722 = 737,218,722 : x
  2. Step 2: Convert to fraction form
    344,721,489/737,218,722 = 737,218,722/x
  3. Step 3: Cross multiply
    344,721,489x = 737,218,722 × 737,218,722
  4. Step 4: Simplify right side
    344,721,489x = 543,491,444,067,313,280
  5. Step 5: Solve for x
    x = 543,491,444,067,313,280/344,721,489
  6. Step 6: Final answer
    x = 1,576,610,282.24

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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.