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Finding the Third Proportional to 5,632,400.25 and 11,563,389

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Solution

The third proportional to 5,632,400.25 and 11,563,389 is: 23,739,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632,400.25 : 11,563,389 = 11,563,389 : x
  2. Step 2: Convert to fraction form
    5,632,400.25/11,563,389 = 11,563,389/x
  3. Step 3: Cross multiply
    5,632,400.25x = 11,563,389 × 11,563,389
  4. Step 4: Simplify right side
    5,632,400.25x = 133,711,965,165,321
  5. Step 5: Solve for x
    x = 133,711,965,165,321/5,632,400.25
  6. Step 6: Final answer
    x = 23,739,783.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.