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Finding the Third Proportional to 5,632,402.50 and 11,563,392.38

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Solution

The third proportional to 5,632,402.50 and 11,563,392.38 is: 23,739,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632,402.50 : 11,563,392.38 = 11,563,392.38 : x
  2. Step 2: Convert to fraction form
    5,632,402.50/11,563,392.38 = 11,563,392.38/x
  3. Step 3: Cross multiply
    5,632,402.50x = 11,563,392.38 × 11,563,392.38
  4. Step 4: Simplify right side
    5,632,402.50x = 133,712,043,218,208.14
  5. Step 5: Solve for x
    x = 133,712,043,218,208.14/5,632,402.50
  6. Step 6: Final answer
    x = 23,739,788.34

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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.