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Finding the Third Proportional to 3,147,868.13 and 6,777,338.63

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Solution

The third proportional to 3,147,868.13 and 6,777,338.63 is: 14,591,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147,868.13 : 6,777,338.63 = 6,777,338.63 : x
  2. Step 2: Convert to fraction form
    3,147,868.13/6,777,338.63 = 6,777,338.63/x
  3. Step 3: Cross multiply
    3,147,868.13x = 6,777,338.63 × 6,777,338.63
  4. Step 4: Simplify right side
    3,147,868.13x = 45,932,318,837,916.89
  5. Step 5: Solve for x
    x = 45,932,318,837,916.89/3,147,868.13
  6. Step 6: Final answer
    x = 14,591,563.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.