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Finding the Third Proportional to 5,126,176 and 10,914,944

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Solution

The third proportional to 5,126,176 and 10,914,944 is: 23,240,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126,176 : 10,914,944 = 10,914,944 : x
  2. Step 2: Convert to fraction form
    5,126,176/10,914,944 = 10,914,944/x
  3. Step 3: Cross multiply
    5,126,176x = 10,914,944 × 10,914,944
  4. Step 4: Simplify right side
    5,126,176x = 119,136,002,523,136
  5. Step 5: Solve for x
    x = 119,136,002,523,136/5,126,176
  6. Step 6: Final answer
    x = 23,240,716.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.