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Finding the Third Proportional to 9,259,066 and 20,283,444

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Solution

The third proportional to 9,259,066 and 20,283,444 is: 44,434,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259,066 : 20,283,444 = 20,283,444 : x
  2. Step 2: Convert to fraction form
    9,259,066/20,283,444 = 20,283,444/x
  3. Step 3: Cross multiply
    9,259,066x = 20,283,444 × 20,283,444
  4. Step 4: Simplify right side
    9,259,066x = 411,418,100,501,136
  5. Step 5: Solve for x
    x = 411,418,100,501,136/9,259,066
  6. Step 6: Final answer
    x = 44,434,082.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.