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Finding the Third Proportional to 9,572,197 and 20,489,916

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Solution

The third proportional to 9,572,197 and 20,489,916 is: 43,860,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572,197 : 20,489,916 = 20,489,916 : x
  2. Step 2: Convert to fraction form
    9,572,197/20,489,916 = 20,489,916/x
  3. Step 3: Cross multiply
    9,572,197x = 20,489,916 × 20,489,916
  4. Step 4: Simplify right side
    9,572,197x = 419,836,657,687,056
  5. Step 5: Solve for x
    x = 419,836,657,687,056/9,572,197
  6. Step 6: Final answer
    x = 43,860,010.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.