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Finding the Third Proportional to 9,272,706 and 14,184,439

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Solution

The third proportional to 9,272,706 and 14,184,439 is: 21,697,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272,706 : 14,184,439 = 14,184,439 : x
  2. Step 2: Convert to fraction form
    9,272,706/14,184,439 = 14,184,439/x
  3. Step 3: Cross multiply
    9,272,706x = 14,184,439 × 14,184,439
  4. Step 4: Simplify right side
    9,272,706x = 201,198,309,744,721
  5. Step 5: Solve for x
    x = 201,198,309,744,721/9,272,706
  6. Step 6: Final answer
    x = 21,697,906.71

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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.