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Finding the Third Proportional to 9,435,200 and 14,137,984

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Solution

The third proportional to 9,435,200 and 14,137,984 is: 21,184,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,200 : 14,137,984 = 14,137,984 : x
  2. Step 2: Convert to fraction form
    9,435,200/14,137,984 = 14,137,984/x
  3. Step 3: Cross multiply
    9,435,200x = 14,137,984 × 14,137,984
  4. Step 4: Simplify right side
    9,435,200x = 199,882,591,584,256
  5. Step 5: Solve for x
    x = 199,882,591,584,256/9,435,200
  6. Step 6: Final answer
    x = 21,184,775.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.