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Finding the Third Proportional to 273,020,733 and 589,675,801.50

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Solution

The third proportional to 273,020,733 and 589,675,801.50 is: 1,273,593,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,020,733 : 589,675,801.50 = 589,675,801.50 : x
  2. Step 2: Convert to fraction form
    273,020,733/589,675,801.50 = 589,675,801.50/x
  3. Step 3: Cross multiply
    273,020,733x = 589,675,801.50 × 589,675,801.50
  4. Step 4: Simplify right side
    273,020,733x = 347,717,550,874,667,392
  5. Step 5: Solve for x
    x = 347,717,550,874,667,392/273,020,733
  6. Step 6: Final answer
    x = 1,273,593,939.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.