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Finding the Third Proportional to 316,491,825,998 and 427,021,783,825

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Solution

The third proportional to 316,491,825,998 and 427,021,783,825 is: 576,152,648,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,491,825,998 : 427,021,783,825 = 427,021,783,825 : x
  2. Step 2: Convert to fraction form
    316,491,825,998/427,021,783,825 = 427,021,783,825/x
  3. Step 3: Cross multiply
    316,491,825,998x = 427,021,783,825 × 427,021,783,825
  4. Step 4: Simplify right side
    316,491,825,998x = 182,347,603,861,085,043,556,352
  5. Step 5: Solve for x
    x = 182,347,603,861,085,043,556,352/316,491,825,998
  6. Step 6: Final answer
    x = 576,152,648,764.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.