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Finding the Third Proportional to 2,537,850 and 5,284,827.75

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Solution

The third proportional to 2,537,850 and 5,284,827.75 is: 11,005,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,850 : 5,284,827.75 = 5,284,827.75 : x
  2. Step 2: Convert to fraction form
    2,537,850/5,284,827.75 = 5,284,827.75/x
  3. Step 3: Cross multiply
    2,537,850x = 5,284,827.75 × 5,284,827.75
  4. Step 4: Simplify right side
    2,537,850x = 27,929,404,347,170.06
  5. Step 5: Solve for x
    x = 27,929,404,347,170.06/2,537,850
  6. Step 6: Final answer
    x = 11,005,143.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.