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Finding the Third Proportional to 10,847,871.56 and 23,166,938.81

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Solution

The third proportional to 10,847,871.56 and 23,166,938.81 is: 49,475,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847,871.56 : 23,166,938.81 = 23,166,938.81 : x
  2. Step 2: Convert to fraction form
    10,847,871.56/23,166,938.81 = 23,166,938.81/x
  3. Step 3: Cross multiply
    10,847,871.56x = 23,166,938.81 × 23,166,938.81
  4. Step 4: Simplify right side
    10,847,871.56x = 536,707,053,942,118.94
  5. Step 5: Solve for x
    x = 536,707,053,942,118.94/10,847,871.56
  6. Step 6: Final answer
    x = 49,475,793.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.