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Finding the Third Proportional to 19,666,812.66 and 30,783,305.81

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Solution

The third proportional to 19,666,812.66 and 30,783,305.81 is: 48,183,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666,812.66 : 30,783,305.81 = 30,783,305.81 : x
  2. Step 2: Convert to fraction form
    19,666,812.66/30,783,305.81 = 30,783,305.81/x
  3. Step 3: Cross multiply
    19,666,812.66x = 30,783,305.81 × 30,783,305.81
  4. Step 4: Simplify right side
    19,666,812.66x = 947,611,916,745,896.25
  5. Step 5: Solve for x
    x = 947,611,916,745,896.25/19,666,812.66
  6. Step 6: Final answer
    x = 48,183,299.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.