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Finding the Third Proportional to 10,997,744 and 24,147,280

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Solution

The third proportional to 10,997,744 and 24,147,280 is: 53,019,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997,744 : 24,147,280 = 24,147,280 : x
  2. Step 2: Convert to fraction form
    10,997,744/24,147,280 = 24,147,280/x
  3. Step 3: Cross multiply
    10,997,744x = 24,147,280 × 24,147,280
  4. Step 4: Simplify right side
    10,997,744x = 583,091,131,398,400
  5. Step 5: Solve for x
    x = 583,091,131,398,400/10,997,744
  6. Step 6: Final answer
    x = 53,019,158.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.