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Finding the Third Proportional to 10,589,922 and 23,121,918

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Solution

The third proportional to 10,589,922 and 23,121,918 is: 50,484,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589,922 : 23,121,918 = 23,121,918 : x
  2. Step 2: Convert to fraction form
    10,589,922/23,121,918 = 23,121,918/x
  3. Step 3: Cross multiply
    10,589,922x = 23,121,918 × 23,121,918
  4. Step 4: Simplify right side
    10,589,922x = 534,623,091,998,724
  5. Step 5: Solve for x
    x = 534,623,091,998,724/10,589,922
  6. Step 6: Final answer
    x = 50,484,138.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.