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Finding the Third Proportional to 9,435,184 and 14,137,912

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Solution

The third proportional to 9,435,184 and 14,137,912 is: 21,184,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,184 : 14,137,912 = 14,137,912 : x
  2. Step 2: Convert to fraction form
    9,435,184/14,137,912 = 14,137,912/x
  3. Step 3: Cross multiply
    9,435,184x = 14,137,912 × 14,137,912
  4. Step 4: Simplify right side
    9,435,184x = 199,880,555,719,744
  5. Step 5: Solve for x
    x = 199,880,555,719,744/9,435,184
  6. Step 6: Final answer
    x = 21,184,595.42

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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.