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Finding the Third Proportional to 6,327,024 and 13,649,376

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Solution

The third proportional to 6,327,024 and 13,649,376 is: 29,445,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327,024 : 13,649,376 = 13,649,376 : x
  2. Step 2: Convert to fraction form
    6,327,024/13,649,376 = 13,649,376/x
  3. Step 3: Cross multiply
    6,327,024x = 13,649,376 × 13,649,376
  4. Step 4: Simplify right side
    6,327,024x = 186,305,465,189,376
  5. Step 5: Solve for x
    x = 186,305,465,189,376/6,327,024
  6. Step 6: Final answer
    x = 29,445,986.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.