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Finding the Third Proportional to 2,735,143.50 and 5,951,913

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Solution

The third proportional to 2,735,143.50 and 5,951,913 is: 12,951,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,143.50 : 5,951,913 = 5,951,913 : x
  2. Step 2: Convert to fraction form
    2,735,143.50/5,951,913 = 5,951,913/x
  3. Step 3: Cross multiply
    2,735,143.50x = 5,951,913 × 5,951,913
  4. Step 4: Simplify right side
    2,735,143.50x = 35,425,268,359,569
  5. Step 5: Solve for x
    x = 35,425,268,359,569/2,735,143.50
  6. Step 6: Final answer
    x = 12,951,886.57

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Why These Related Problems?

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