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Finding the Third Proportional to 11,647,533 and 24,788,796

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Solution

The third proportional to 11,647,533 and 24,788,796 is: 52,756,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647,533 : 24,788,796 = 24,788,796 : x
  2. Step 2: Convert to fraction form
    11,647,533/24,788,796 = 24,788,796/x
  3. Step 3: Cross multiply
    11,647,533x = 24,788,796 × 24,788,796
  4. Step 4: Simplify right side
    11,647,533x = 614,484,407,129,616
  5. Step 5: Solve for x
    x = 614,484,407,129,616/11,647,533
  6. Step 6: Final answer
    x = 52,756,614.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.