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Finding the Third Proportional to 24,919,822 and 36,433,647

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Solution

The third proportional to 24,919,822 and 36,433,647 is: 53,267,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919,822 : 36,433,647 = 36,433,647 : x
  2. Step 2: Convert to fraction form
    24,919,822/36,433,647 = 36,433,647/x
  3. Step 3: Cross multiply
    24,919,822x = 36,433,647 × 36,433,647
  4. Step 4: Simplify right side
    24,919,822x = 1,327,410,633,720,609
  5. Step 5: Solve for x
    x = 1,327,410,633,720,609/24,919,822
  6. Step 6: Final answer
    x = 53,267,259.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.