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Finding the Third Proportional to 395,332,794,204 and 556,715,688,606

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Solution

The third proportional to 395,332,794,204 and 556,715,688,606 is: 783,978,365,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,332,794,204 : 556,715,688,606 = 556,715,688,606 : x
  2. Step 2: Convert to fraction form
    395,332,794,204/556,715,688,606 = 556,715,688,606/x
  3. Step 3: Cross multiply
    395,332,794,204x = 556,715,688,606 × 556,715,688,606
  4. Step 4: Simplify right side
    395,332,794,204x = 309,932,357,940,052,779,597,824
  5. Step 5: Solve for x
    x = 309,932,357,940,052,779,597,824/395,332,794,204
  6. Step 6: Final answer
    x = 783,978,365,781.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.