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Finding the Third Proportional to 355,947,944 and 550,857,756

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Solution

The third proportional to 355,947,944 and 550,857,756 is: 852,496,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,947,944 : 550,857,756 = 550,857,756 : x
  2. Step 2: Convert to fraction form
    355,947,944/550,857,756 = 550,857,756/x
  3. Step 3: Cross multiply
    355,947,944x = 550,857,756 × 550,857,756
  4. Step 4: Simplify right side
    355,947,944x = 303,444,267,345,355,520
  5. Step 5: Solve for x
    x = 303,444,267,345,355,520/355,947,944
  6. Step 6: Final answer
    x = 852,496,193.50

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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.