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Finding the Third Proportional to 3,464,427,609 and 8,083,943,806.50

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Solution

The third proportional to 3,464,427,609 and 8,083,943,806.50 is: 18,863,187,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,427,609 : 8,083,943,806.50 = 8,083,943,806.50 : x
  2. Step 2: Convert to fraction form
    3,464,427,609/8,083,943,806.50 = 8,083,943,806.50/x
  3. Step 3: Cross multiply
    3,464,427,609x = 8,083,943,806.50 × 8,083,943,806.50
  4. Step 4: Simplify right side
    3,464,427,609x = 65,350,147,466,649,706,496
  5. Step 5: Solve for x
    x = 65,350,147,466,649,706,496/3,464,427,609
  6. Step 6: Final answer
    x = 18,863,187,470.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.