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Finding the Third Proportional to 355,723,728 and 770,819,016

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Solution

The third proportional to 355,723,728 and 770,819,016 is: 1,670,290,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,723,728 : 770,819,016 = 770,819,016 : x
  2. Step 2: Convert to fraction form
    355,723,728/770,819,016 = 770,819,016/x
  3. Step 3: Cross multiply
    355,723,728x = 770,819,016 × 770,819,016
  4. Step 4: Simplify right side
    355,723,728x = 594,161,955,427,208,192
  5. Step 5: Solve for x
    x = 594,161,955,427,208,192/355,723,728
  6. Step 6: Final answer
    x = 1,670,290,477.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.