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Finding the Third Proportional to 5,298,810 and 11,796,744

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Solution

The third proportional to 5,298,810 and 11,796,744 is: 26,263,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298,810 : 11,796,744 = 11,796,744 : x
  2. Step 2: Convert to fraction form
    5,298,810/11,796,744 = 11,796,744/x
  3. Step 3: Cross multiply
    5,298,810x = 11,796,744 × 11,796,744
  4. Step 4: Simplify right side
    5,298,810x = 139,163,169,001,536
  5. Step 5: Solve for x
    x = 139,163,169,001,536/5,298,810
  6. Step 6: Final answer
    x = 26,263,098.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.