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Finding the Third Proportional to 13,447,316 and 20,184,741

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Solution

The third proportional to 13,447,316 and 20,184,741 is: 30,297,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447,316 : 20,184,741 = 20,184,741 : x
  2. Step 2: Convert to fraction form
    13,447,316/20,184,741 = 20,184,741/x
  3. Step 3: Cross multiply
    13,447,316x = 20,184,741 × 20,184,741
  4. Step 4: Simplify right side
    13,447,316x = 407,423,769,237,081
  5. Step 5: Solve for x
    x = 407,423,769,237,081/13,447,316
  6. Step 6: Final answer
    x = 30,297,776.09

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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.