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Finding the Third Proportional to 140,236,670,571 and 284,375,590,308.38

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Solution

The third proportional to 140,236,670,571 and 284,375,590,308.38 is: 576,664,263,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,236,670,571 : 284,375,590,308.38 = 284,375,590,308.38 : x
  2. Step 2: Convert to fraction form
    140,236,670,571/284,375,590,308.38 = 284,375,590,308.38/x
  3. Step 3: Cross multiply
    140,236,670,571x = 284,375,590,308.38 × 284,375,590,308.38
  4. Step 4: Simplify right side
    140,236,670,571x = 80,869,476,363,239,585,480,704
  5. Step 5: Solve for x
    x = 80,869,476,363,239,585,480,704/140,236,670,571
  6. Step 6: Final answer
    x = 576,664,263,590.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.