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Finding the Third Proportional to 301,608,832,766 and 449,797,732,580

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Solution

The third proportional to 301,608,832,766 and 449,797,732,580 is: 670,796,005,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,608,832,766 : 449,797,732,580 = 449,797,732,580 : x
  2. Step 2: Convert to fraction form
    301,608,832,766/449,797,732,580 = 449,797,732,580/x
  3. Step 3: Cross multiply
    301,608,832,766x = 449,797,732,580 × 449,797,732,580
  4. Step 4: Simplify right side
    301,608,832,766x = 202,318,000,234,109,197,090,816
  5. Step 5: Solve for x
    x = 202,318,000,234,109,197,090,816/301,608,832,766
  6. Step 6: Final answer
    x = 670,796,005,470.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.