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Finding the Third Proportional to 3,464,427,612 and 8,083,943,814

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Solution

The third proportional to 3,464,427,612 and 8,083,943,814 is: 18,863,187,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,427,612 : 8,083,943,814 = 8,083,943,814 : x
  2. Step 2: Convert to fraction form
    3,464,427,612/8,083,943,814 = 8,083,943,814/x
  3. Step 3: Cross multiply
    3,464,427,612x = 8,083,943,814 × 8,083,943,814
  4. Step 4: Simplify right side
    3,464,427,612x = 65,350,147,587,908,870,144
  5. Step 5: Solve for x
    x = 65,350,147,587,908,870,144/3,464,427,612
  6. Step 6: Final answer
    x = 18,863,187,489.20

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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.