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Finding the Third Proportional to 10,818,147 and 15,468,944.25

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Solution

The third proportional to 10,818,147 and 15,468,944.25 is: 22,119,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818,147 : 15,468,944.25 = 15,468,944.25 : x
  2. Step 2: Convert to fraction form
    10,818,147/15,468,944.25 = 15,468,944.25/x
  3. Step 3: Cross multiply
    10,818,147x = 15,468,944.25 × 15,468,944.25
  4. Step 4: Simplify right side
    10,818,147x = 239,288,236,209,608.06
  5. Step 5: Solve for x
    x = 239,288,236,209,608.06/10,818,147
  6. Step 6: Final answer
    x = 22,119,151.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.