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Finding the Third Proportional to 353,007,689 and 769,576,622

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Solution

The third proportional to 353,007,689 and 769,576,622 is: 1,677,720,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,689 : 769,576,622 = 769,576,622 : x
  2. Step 2: Convert to fraction form
    353,007,689/769,576,622 = 769,576,622/x
  3. Step 3: Cross multiply
    353,007,689x = 769,576,622 × 769,576,622
  4. Step 4: Simplify right side
    353,007,689x = 592,248,177,128,930,944
  5. Step 5: Solve for x
    x = 592,248,177,128,930,944/353,007,689
  6. Step 6: Final answer
    x = 1,677,720,331.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.