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Finding the Third Proportional to 10,227,141 and 22,724,433.56

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Solution

The third proportional to 10,227,141 and 22,724,433.56 is: 50,493,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227,141 : 22,724,433.56 = 22,724,433.56 : x
  2. Step 2: Convert to fraction form
    10,227,141/22,724,433.56 = 22,724,433.56/x
  3. Step 3: Cross multiply
    10,227,141x = 22,724,433.56 × 22,724,433.56
  4. Step 4: Simplify right side
    10,227,141x = 516,399,880,736,476.44
  5. Step 5: Solve for x
    x = 516,399,880,736,476.44/10,227,141
  6. Step 6: Final answer
    x = 50,493,083.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.