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Finding the Third Proportional to 324,211,143.94 and 697,661,769.38

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Solution

The third proportional to 324,211,143.94 and 697,661,769.38 is: 1,501,280,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,211,143.94 : 697,661,769.38 = 697,661,769.38 : x
  2. Step 2: Convert to fraction form
    324,211,143.94/697,661,769.38 = 697,661,769.38/x
  3. Step 3: Cross multiply
    324,211,143.94x = 697,661,769.38 × 697,661,769.38
  4. Step 4: Simplify right side
    324,211,143.94x = 486,731,944,447,455,680
  5. Step 5: Solve for x
    x = 486,731,944,447,455,680/324,211,143.94
  6. Step 6: Final answer
    x = 1,501,280,734.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.