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Finding the Third Proportional to 22,806,189 and 49,177,188

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Solution

The third proportional to 22,806,189 and 49,177,188 is: 106,041,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806,189 : 49,177,188 = 49,177,188 : x
  2. Step 2: Convert to fraction form
    22,806,189/49,177,188 = 49,177,188/x
  3. Step 3: Cross multiply
    22,806,189x = 49,177,188 × 49,177,188
  4. Step 4: Simplify right side
    22,806,189x = 2,418,395,819,587,344
  5. Step 5: Solve for x
    x = 2,418,395,819,587,344/22,806,189
  6. Step 6: Final answer
    x = 106,041,207.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.