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Finding the Third Proportional to 11,406,750 and 23,757,069

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Solution

The third proportional to 11,406,750 and 23,757,069 is: 49,479,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406,750 : 23,757,069 = 23,757,069 : x
  2. Step 2: Convert to fraction form
    11,406,750/23,757,069 = 23,757,069/x
  3. Step 3: Cross multiply
    11,406,750x = 23,757,069 × 23,757,069
  4. Step 4: Simplify right side
    11,406,750x = 564,398,327,470,761
  5. Step 5: Solve for x
    x = 564,398,327,470,761/11,406,750
  6. Step 6: Final answer
    x = 49,479,328.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.