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Finding the Third Proportional to 536,213,324 and 819,915,728

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Solution

The third proportional to 536,213,324 and 819,915,728 is: 1,253,720,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,213,324 : 819,915,728 = 819,915,728 : x
  2. Step 2: Convert to fraction form
    536,213,324/819,915,728 = 819,915,728/x
  3. Step 3: Cross multiply
    536,213,324x = 819,915,728 × 819,915,728
  4. Step 4: Simplify right side
    536,213,324x = 672,261,801,021,769,984
  5. Step 5: Solve for x
    x = 672,261,801,021,769,984/536,213,324
  6. Step 6: Final answer
    x = 1,253,720,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.