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Finding the Third Proportional to 5,343,769.50 and 11,212,419

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Solution

The third proportional to 5,343,769.50 and 11,212,419 is: 23,526,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343,769.50 : 11,212,419 = 11,212,419 : x
  2. Step 2: Convert to fraction form
    5,343,769.50/11,212,419 = 11,212,419/x
  3. Step 3: Cross multiply
    5,343,769.50x = 11,212,419 × 11,212,419
  4. Step 4: Simplify right side
    5,343,769.50x = 125,718,339,831,561
  5. Step 5: Solve for x
    x = 125,718,339,831,561/5,343,769.50
  6. Step 6: Final answer
    x = 23,526,153.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.