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Finding the Third Proportional to 140,236,670,573 and 284,375,590,312

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Solution

The third proportional to 140,236,670,573 and 284,375,590,312 is: 576,664,263,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,236,670,573 : 284,375,590,312 = 284,375,590,312 : x
  2. Step 2: Convert to fraction form
    140,236,670,573/284,375,590,312 = 284,375,590,312/x
  3. Step 3: Cross multiply
    140,236,670,573x = 284,375,590,312 × 284,375,590,312
  4. Step 4: Simplify right side
    140,236,670,573x = 80,869,476,365,298,468,651,008
  5. Step 5: Solve for x
    x = 80,869,476,365,298,468,651,008/140,236,670,573
  6. Step 6: Final answer
    x = 576,664,263,597.17

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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.