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Finding the Third Proportional to 10,840,977 and 21,407,778

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Solution

The third proportional to 10,840,977 and 21,407,778 is: 42,274,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840,977 : 21,407,778 = 21,407,778 : x
  2. Step 2: Convert to fraction form
    10,840,977/21,407,778 = 21,407,778/x
  3. Step 3: Cross multiply
    10,840,977x = 21,407,778 × 21,407,778
  4. Step 4: Simplify right side
    10,840,977x = 458,292,958,897,284
  5. Step 5: Solve for x
    x = 458,292,958,897,284/10,840,977
  6. Step 6: Final answer
    x = 42,274,138.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.