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Finding the Third Proportional to 319,828,011 and 483,678,615

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Solution

The third proportional to 319,828,011 and 483,678,615 is: 731,471,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,828,011 : 483,678,615 = 483,678,615 : x
  2. Step 2: Convert to fraction form
    319,828,011/483,678,615 = 483,678,615/x
  3. Step 3: Cross multiply
    319,828,011x = 483,678,615 × 483,678,615
  4. Step 4: Simplify right side
    319,828,011x = 233,945,002,608,318,240
  5. Step 5: Solve for x
    x = 233,945,002,608,318,240/319,828,011
  6. Step 6: Final answer
    x = 731,471,273.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.