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Finding the Third Proportional to 24,885,663 and 51,757,851

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Solution

The third proportional to 24,885,663 and 51,757,851 is: 107,647,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885,663 : 51,757,851 = 51,757,851 : x
  2. Step 2: Convert to fraction form
    24,885,663/51,757,851 = 51,757,851/x
  3. Step 3: Cross multiply
    24,885,663x = 51,757,851 × 51,757,851
  4. Step 4: Simplify right side
    24,885,663x = 2,678,875,140,138,201
  5. Step 5: Solve for x
    x = 2,678,875,140,138,201/24,885,663
  6. Step 6: Final answer
    x = 107,647,328.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.