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Finding the Third Proportional to 5,784,476,182 and 8,145,817,113

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Solution

The third proportional to 5,784,476,182 and 8,145,817,113 is: 11,471,105,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784,476,182 : 8,145,817,113 = 8,145,817,113 : x
  2. Step 2: Convert to fraction form
    5,784,476,182/8,145,817,113 = 8,145,817,113/x
  3. Step 3: Cross multiply
    5,784,476,182x = 8,145,817,113 × 8,145,817,113
  4. Step 4: Simplify right side
    5,784,476,182x = 66,354,336,438,443,655,168
  5. Step 5: Solve for x
    x = 66,354,336,438,443,655,168/5,784,476,182
  6. Step 6: Final answer
    x = 11,471,105,481.41

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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.