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Finding the Third Proportional to 810,834,747 and 1,770,295,825.50

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Solution

The third proportional to 810,834,747 and 1,770,295,825.50 is: 3,865,087,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,834,747 : 1,770,295,825.50 = 1,770,295,825.50 : x
  2. Step 2: Convert to fraction form
    810,834,747/1,770,295,825.50 = 1,770,295,825.50/x
  3. Step 3: Cross multiply
    810,834,747x = 1,770,295,825.50 × 1,770,295,825.50
  4. Step 4: Simplify right side
    810,834,747x = 3,133,947,309,782,726,656
  5. Step 5: Solve for x
    x = 3,133,947,309,782,726,656/810,834,747
  6. Step 6: Final answer
    x = 3,865,087,579.66

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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.