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Finding the Third Proportional to 9,297,261 and 20,138,706

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Solution

The third proportional to 9,297,261 and 20,138,706 is: 43,622,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297,261 : 20,138,706 = 20,138,706 : x
  2. Step 2: Convert to fraction form
    9,297,261/20,138,706 = 20,138,706/x
  3. Step 3: Cross multiply
    9,297,261x = 20,138,706 × 20,138,706
  4. Step 4: Simplify right side
    9,297,261x = 405,567,479,354,436
  5. Step 5: Solve for x
    x = 405,567,479,354,436/9,297,261
  6. Step 6: Final answer
    x = 43,622,253.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.