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Finding the Third Proportional to 5,208,207.75 and 11,409,408

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Solution

The third proportional to 5,208,207.75 and 11,409,408 is: 24,994,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208,207.75 : 11,409,408 = 11,409,408 : x
  2. Step 2: Convert to fraction form
    5,208,207.75/11,409,408 = 11,409,408/x
  3. Step 3: Cross multiply
    5,208,207.75x = 11,409,408 × 11,409,408
  4. Step 4: Simplify right side
    5,208,207.75x = 130,174,590,910,464
  5. Step 5: Solve for x
    x = 130,174,590,910,464/5,208,207.75
  6. Step 6: Final answer
    x = 24,994,124.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.