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Finding the Third Proportional to 4,632,009 and 10,061,401.75

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Solution

The third proportional to 4,632,009 and 10,061,401.75 is: 21,854,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,009 : 10,061,401.75 = 10,061,401.75 : x
  2. Step 2: Convert to fraction form
    4,632,009/10,061,401.75 = 10,061,401.75/x
  3. Step 3: Cross multiply
    4,632,009x = 10,061,401.75 × 10,061,401.75
  4. Step 4: Simplify right side
    4,632,009x = 101,231,805,174,903.06
  5. Step 5: Solve for x
    x = 101,231,805,174,903.06/4,632,009
  6. Step 6: Final answer
    x = 21,854,837.76

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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.