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Finding the Third Proportional to 355,947,936 and 550,857,744

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Solution

The third proportional to 355,947,936 and 550,857,744 is: 852,496,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,947,936 : 550,857,744 = 550,857,744 : x
  2. Step 2: Convert to fraction form
    355,947,936/550,857,744 = 550,857,744/x
  3. Step 3: Cross multiply
    355,947,936x = 550,857,744 × 550,857,744
  4. Step 4: Simplify right side
    355,947,936x = 303,444,254,124,769,536
  5. Step 5: Solve for x
    x = 303,444,254,124,769,536/355,947,936
  6. Step 6: Final answer
    x = 852,496,175.52

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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.