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Finding the Third Proportional to 2,575,506 and 5,599,416.75

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Solution

The third proportional to 2,575,506 and 5,599,416.75 is: 12,173,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,506 : 5,599,416.75 = 5,599,416.75 : x
  2. Step 2: Convert to fraction form
    2,575,506/5,599,416.75 = 5,599,416.75/x
  3. Step 3: Cross multiply
    2,575,506x = 5,599,416.75 × 5,599,416.75
  4. Step 4: Simplify right side
    2,575,506x = 31,353,467,940,180.56
  5. Step 5: Solve for x
    x = 31,353,467,940,180.56/2,575,506
  6. Step 6: Final answer
    x = 12,173,711.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.