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Finding the Third Proportional to 254,782,360,081 and 395,598,185,382

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Solution

The third proportional to 254,782,360,081 and 395,598,185,382 is: 614,241,599,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,782,360,081 : 395,598,185,382 = 395,598,185,382 : x
  2. Step 2: Convert to fraction form
    254,782,360,081/395,598,185,382 = 395,598,185,382/x
  3. Step 3: Cross multiply
    254,782,360,081x = 395,598,185,382 × 395,598,185,382
  4. Step 4: Simplify right side
    254,782,360,081x = 156,497,924,277,531,238,727,680
  5. Step 5: Solve for x
    x = 156,497,924,277,531,238,727,680/254,782,360,081
  6. Step 6: Final answer
    x = 614,241,599,095.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.