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Finding the Third Proportional to 11,265,822 and 24,327,414

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Solution

The third proportional to 11,265,822 and 24,327,414 is: 52,532,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265,822 : 24,327,414 = 24,327,414 : x
  2. Step 2: Convert to fraction form
    11,265,822/24,327,414 = 24,327,414/x
  3. Step 3: Cross multiply
    11,265,822x = 24,327,414 × 24,327,414
  4. Step 4: Simplify right side
    11,265,822x = 591,823,071,927,396
  5. Step 5: Solve for x
    x = 591,823,071,927,396/11,265,822
  6. Step 6: Final answer
    x = 52,532,613.41

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Why These Related Problems?

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