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Finding the Third Proportional to 5,074,123.50 and 10,646,471.25

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Solution

The third proportional to 5,074,123.50 and 10,646,471.25 is: 22,338,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074,123.50 : 10,646,471.25 = 10,646,471.25 : x
  2. Step 2: Convert to fraction form
    5,074,123.50/10,646,471.25 = 10,646,471.25/x
  3. Step 3: Cross multiply
    5,074,123.50x = 10,646,471.25 × 10,646,471.25
  4. Step 4: Simplify right side
    5,074,123.50x = 113,347,350,077,076.56
  5. Step 5: Solve for x
    x = 113,347,350,077,076.56/5,074,123.50
  6. Step 6: Final answer
    x = 22,338,311.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.