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Finding the Third Proportional to 11,165,200,878 and 17,286,188,229

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Solution

The third proportional to 11,165,200,878 and 17,286,188,229 is: 26,762,823,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165,200,878 : 17,286,188,229 = 17,286,188,229 : x
  2. Step 2: Convert to fraction form
    11,165,200,878/17,286,188,229 = 17,286,188,229/x
  3. Step 3: Cross multiply
    11,165,200,878x = 17,286,188,229 × 17,286,188,229
  4. Step 4: Simplify right side
    11,165,200,878x = 298,812,303,488,418,185,216
  5. Step 5: Solve for x
    x = 298,812,303,488,418,185,216/11,165,200,878
  6. Step 6: Final answer
    x = 26,762,823,773.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.