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Finding the Third Proportional to 9,464,736 and 20,587,796

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Solution

The third proportional to 9,464,736 and 20,587,796 is: 44,782,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,736 : 20,587,796 = 20,587,796 : x
  2. Step 2: Convert to fraction form
    9,464,736/20,587,796 = 20,587,796/x
  3. Step 3: Cross multiply
    9,464,736x = 20,587,796 × 20,587,796
  4. Step 4: Simplify right side
    9,464,736x = 423,857,344,137,616
  5. Step 5: Solve for x
    x = 423,857,344,137,616/9,464,736
  6. Step 6: Final answer
    x = 44,782,796.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.