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Finding the Third Proportional to 5,146,426.50 and 11,189,160

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Solution

The third proportional to 5,146,426.50 and 11,189,160 is: 24,327,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,426.50 : 11,189,160 = 11,189,160 : x
  2. Step 2: Convert to fraction form
    5,146,426.50/11,189,160 = 11,189,160/x
  3. Step 3: Cross multiply
    5,146,426.50x = 11,189,160 × 11,189,160
  4. Step 4: Simplify right side
    5,146,426.50x = 125,197,301,505,600
  5. Step 5: Solve for x
    x = 125,197,301,505,600/5,146,426.50
  6. Step 6: Final answer
    x = 24,327,035.76

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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.