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Finding the Third Proportional to 24,919,796 and 36,433,614

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Solution

The third proportional to 24,919,796 and 36,433,614 is: 53,267,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919,796 : 36,433,614 = 36,433,614 : x
  2. Step 2: Convert to fraction form
    24,919,796/36,433,614 = 36,433,614/x
  3. Step 3: Cross multiply
    24,919,796x = 36,433,614 × 36,433,614
  4. Step 4: Simplify right side
    24,919,796x = 1,327,408,229,100,996
  5. Step 5: Solve for x
    x = 1,327,408,229,100,996/24,919,796
  6. Step 6: Final answer
    x = 53,267,218.93

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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.