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Finding the Third Proportional to 9,268,314 and 20,184,321

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Solution

The third proportional to 9,268,314 and 20,184,321 is: 43,956,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268,314 : 20,184,321 = 20,184,321 : x
  2. Step 2: Convert to fraction form
    9,268,314/20,184,321 = 20,184,321/x
  3. Step 3: Cross multiply
    9,268,314x = 20,184,321 × 20,184,321
  4. Step 4: Simplify right side
    9,268,314x = 407,406,814,231,041
  5. Step 5: Solve for x
    x = 407,406,814,231,041/9,268,314
  6. Step 6: Final answer
    x = 43,956,949.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.