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Finding the Third Proportional to 5,681,812 and 12,206,887

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Solution

The third proportional to 5,681,812 and 12,206,887 is: 26,225,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681,812 : 12,206,887 = 12,206,887 : x
  2. Step 2: Convert to fraction form
    5,681,812/12,206,887 = 12,206,887/x
  3. Step 3: Cross multiply
    5,681,812x = 12,206,887 × 12,206,887
  4. Step 4: Simplify right side
    5,681,812x = 149,008,090,230,769
  5. Step 5: Solve for x
    x = 149,008,090,230,769/5,681,812
  6. Step 6: Final answer
    x = 26,225,452.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.