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Finding the Third Proportional to 5,784,476,179.50 and 8,145,817,110

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Solution

The third proportional to 5,784,476,179.50 and 8,145,817,110 is: 11,471,105,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784,476,179.50 : 8,145,817,110 = 8,145,817,110 : x
  2. Step 2: Convert to fraction form
    5,784,476,179.50/8,145,817,110 = 8,145,817,110/x
  3. Step 3: Cross multiply
    5,784,476,179.50x = 8,145,817,110 × 8,145,817,110
  4. Step 4: Simplify right side
    5,784,476,179.50x = 66,354,336,389,568,749,568
  5. Step 5: Solve for x
    x = 66,354,336,389,568,749,568/5,784,476,179.50
  6. Step 6: Final answer
    x = 11,471,105,477.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.