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Finding the Third Proportional to 5,735,286 and 12,514,014

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Solution

The third proportional to 5,735,286 and 12,514,014 is: 27,304,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735,286 : 12,514,014 = 12,514,014 : x
  2. Step 2: Convert to fraction form
    5,735,286/12,514,014 = 12,514,014/x
  3. Step 3: Cross multiply
    5,735,286x = 12,514,014 × 12,514,014
  4. Step 4: Simplify right side
    5,735,286x = 156,600,546,392,196
  5. Step 5: Solve for x
    x = 156,600,546,392,196/5,735,286
  6. Step 6: Final answer
    x = 27,304,749.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.