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Finding the Third Proportional to 10,397,165 and 23,184,975

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Solution

The third proportional to 10,397,165 and 23,184,975 is: 51,700,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397,165 : 23,184,975 = 23,184,975 : x
  2. Step 2: Convert to fraction form
    10,397,165/23,184,975 = 23,184,975/x
  3. Step 3: Cross multiply
    10,397,165x = 23,184,975 × 23,184,975
  4. Step 4: Simplify right side
    10,397,165x = 537,543,065,750,625
  5. Step 5: Solve for x
    x = 537,543,065,750,625/10,397,165
  6. Step 6: Final answer
    x = 51,700,926.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.