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Finding the Third Proportional to 10,227,143 and 22,724,438

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Solution

The third proportional to 10,227,143 and 22,724,438 is: 50,493,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227,143 : 22,724,438 = 22,724,438 : x
  2. Step 2: Convert to fraction form
    10,227,143/22,724,438 = 22,724,438/x
  3. Step 3: Cross multiply
    10,227,143x = 22,724,438 × 22,724,438
  4. Step 4: Simplify right side
    10,227,143x = 516,400,082,415,844
  5. Step 5: Solve for x
    x = 516,400,082,415,844/10,227,143
  6. Step 6: Final answer
    x = 50,493,092.98

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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.