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Finding the Third Proportional to 269,928,777,425 and 580,480,904,890

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Solution

The third proportional to 269,928,777,425 and 580,480,904,890 is: 1,248,322,183,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,928,777,425 : 580,480,904,890 = 580,480,904,890 : x
  2. Step 2: Convert to fraction form
    269,928,777,425/580,480,904,890 = 580,480,904,890/x
  3. Step 3: Cross multiply
    269,928,777,425x = 580,480,904,890 × 580,480,904,890
  4. Step 4: Simplify right side
    269,928,777,425x = 336,958,080,941,913,234,472,960
  5. Step 5: Solve for x
    x = 336,958,080,941,913,234,472,960/269,928,777,425
  6. Step 6: Final answer
    x = 1,248,322,183,934.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.