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Finding the Third Proportional to 6,286,353.75 and 9,612,237

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Solution

The third proportional to 6,286,353.75 and 9,612,237 is: 14,697,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,353.75 : 9,612,237 = 9,612,237 : x
  2. Step 2: Convert to fraction form
    6,286,353.75/9,612,237 = 9,612,237/x
  3. Step 3: Cross multiply
    6,286,353.75x = 9,612,237 × 9,612,237
  4. Step 4: Simplify right side
    6,286,353.75x = 92,395,100,144,169
  5. Step 5: Solve for x
    x = 92,395,100,144,169/6,286,353.75
  6. Step 6: Final answer
    x = 14,697,725.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.