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Finding the Third Proportional to 10,824,624 and 23,791,968

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Solution

The third proportional to 10,824,624 and 23,791,968 is: 52,293,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824,624 : 23,791,968 = 23,791,968 : x
  2. Step 2: Convert to fraction form
    10,824,624/23,791,968 = 23,791,968/x
  3. Step 3: Cross multiply
    10,824,624x = 23,791,968 × 23,791,968
  4. Step 4: Simplify right side
    10,824,624x = 566,057,741,313,024
  5. Step 5: Solve for x
    x = 566,057,741,313,024/10,824,624
  6. Step 6: Final answer
    x = 52,293,524.59

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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.