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Finding the Third Proportional to 810,834,678 and 1,770,295,695

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Solution

The third proportional to 810,834,678 and 1,770,295,695 is: 3,865,087,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,834,678 : 1,770,295,695 = 1,770,295,695 : x
  2. Step 2: Convert to fraction form
    810,834,678/1,770,295,695 = 1,770,295,695/x
  3. Step 3: Cross multiply
    810,834,678x = 1,770,295,695 × 1,770,295,695
  4. Step 4: Simplify right side
    810,834,678x = 3,133,946,847,735,533,056
  5. Step 5: Solve for x
    x = 3,133,946,847,735,533,056/810,834,678
  6. Step 6: Final answer
    x = 3,865,087,338.72

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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.