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Finding the Third Proportional to 5,781,024 and 12,449,968

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Solution

The third proportional to 5,781,024 and 12,449,968 is: 26,812,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,024 : 12,449,968 = 12,449,968 : x
  2. Step 2: Convert to fraction form
    5,781,024/12,449,968 = 12,449,968/x
  3. Step 3: Cross multiply
    5,781,024x = 12,449,968 × 12,449,968
  4. Step 4: Simplify right side
    5,781,024x = 155,001,703,201,024
  5. Step 5: Solve for x
    x = 155,001,703,201,024/5,781,024
  6. Step 6: Final answer
    x = 26,812,153.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.