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Finding the Third Proportional to 3,193,880,834 and 6,950,164,513

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Solution

The third proportional to 3,193,880,834 and 6,950,164,513 is: 15,124,166,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,880,834 : 6,950,164,513 = 6,950,164,513 : x
  2. Step 2: Convert to fraction form
    3,193,880,834/6,950,164,513 = 6,950,164,513/x
  3. Step 3: Cross multiply
    3,193,880,834x = 6,950,164,513 × 6,950,164,513
  4. Step 4: Simplify right side
    3,193,880,834x = 48,304,786,757,764,530,176
  5. Step 5: Solve for x
    x = 48,304,786,757,764,530,176/3,193,880,834
  6. Step 6: Final answer
    x = 15,124,166,889.24

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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.