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Finding the Third Proportional to 9,288,464 and 20,126,965

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Solution

The third proportional to 9,288,464 and 20,126,965 is: 43,612,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288,464 : 20,126,965 = 20,126,965 : x
  2. Step 2: Convert to fraction form
    9,288,464/20,126,965 = 20,126,965/x
  3. Step 3: Cross multiply
    9,288,464x = 20,126,965 × 20,126,965
  4. Step 4: Simplify right side
    9,288,464x = 405,094,720,111,225
  5. Step 5: Solve for x
    x = 405,094,720,111,225/9,288,464
  6. Step 6: Final answer
    x = 43,612,670.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.