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Finding the Third Proportional to 10,302,024 and 22,397,667

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Solution

The third proportional to 10,302,024 and 22,397,667 is: 48,694,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302,024 : 22,397,667 = 22,397,667 : x
  2. Step 2: Convert to fraction form
    10,302,024/22,397,667 = 22,397,667/x
  3. Step 3: Cross multiply
    10,302,024x = 22,397,667 × 22,397,667
  4. Step 4: Simplify right side
    10,302,024x = 501,655,487,042,889
  5. Step 5: Solve for x
    x = 501,655,487,042,889/10,302,024
  6. Step 6: Final answer
    x = 48,694,847.44

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