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Finding the Third Proportional to 9,728,505 and 22,519,134

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Solution

The third proportional to 9,728,505 and 22,519,134 is: 52,126,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728,505 : 22,519,134 = 22,519,134 : x
  2. Step 2: Convert to fraction form
    9,728,505/22,519,134 = 22,519,134/x
  3. Step 3: Cross multiply
    9,728,505x = 22,519,134 × 22,519,134
  4. Step 4: Simplify right side
    9,728,505x = 507,111,396,109,956
  5. Step 5: Solve for x
    x = 507,111,396,109,956/9,728,505
  6. Step 6: Final answer
    x = 52,126,343.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.