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Finding the Third Proportional to 810,834,749 and 1,770,295,830

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Solution

The third proportional to 810,834,749 and 1,770,295,830 is: 3,865,087,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,834,749 : 1,770,295,830 = 1,770,295,830 : x
  2. Step 2: Convert to fraction form
    810,834,749/1,770,295,830 = 1,770,295,830/x
  3. Step 3: Cross multiply
    810,834,749x = 1,770,295,830 × 1,770,295,830
  4. Step 4: Simplify right side
    810,834,749x = 3,133,947,325,715,388,928
  5. Step 5: Solve for x
    x = 3,133,947,325,715,388,928/810,834,749
  6. Step 6: Final answer
    x = 3,865,087,589.77

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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.