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Finding the Third Proportional to 13,843,584 and 30,178,161

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Solution

The third proportional to 13,843,584 and 30,178,161 is: 65,786,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843,584 : 30,178,161 = 30,178,161 : x
  2. Step 2: Convert to fraction form
    13,843,584/30,178,161 = 30,178,161/x
  3. Step 3: Cross multiply
    13,843,584x = 30,178,161 × 30,178,161
  4. Step 4: Simplify right side
    13,843,584x = 910,721,401,341,921
  5. Step 5: Solve for x
    x = 910,721,401,341,921/13,843,584
  6. Step 6: Final answer
    x = 65,786,533.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.