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Finding the Third Proportional to 5,176,066.50 and 11,214,762

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Solution

The third proportional to 5,176,066.50 and 11,214,762 is: 24,298,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176,066.50 : 11,214,762 = 11,214,762 : x
  2. Step 2: Convert to fraction form
    5,176,066.50/11,214,762 = 11,214,762/x
  3. Step 3: Cross multiply
    5,176,066.50x = 11,214,762 × 11,214,762
  4. Step 4: Simplify right side
    5,176,066.50x = 125,770,886,716,644
  5. Step 5: Solve for x
    x = 125,770,886,716,644/5,176,066.50
  6. Step 6: Final answer
    x = 24,298,545.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.