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Finding the Third Proportional to 800,678,229.75 and 1,730,858,935.50

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Solution

The third proportional to 800,678,229.75 and 1,730,858,935.50 is: 3,741,668,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,678,229.75 : 1,730,858,935.50 = 1,730,858,935.50 : x
  2. Step 2: Convert to fraction form
    800,678,229.75/1,730,858,935.50 = 1,730,858,935.50/x
  3. Step 3: Cross multiply
    800,678,229.75x = 1,730,858,935.50 × 1,730,858,935.50
  4. Step 4: Simplify right side
    800,678,229.75x = 2,995,872,654,600,193,024
  5. Step 5: Solve for x
    x = 2,995,872,654,600,193,024/800,678,229.75
  6. Step 6: Final answer
    x = 3,741,668,679.48

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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.