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Finding the Third Proportional to 11,649,060 and 18,234,119

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Solution

The third proportional to 11,649,060 and 18,234,119 is: 28,541,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,060 : 18,234,119 = 18,234,119 : x
  2. Step 2: Convert to fraction form
    11,649,060/18,234,119 = 18,234,119/x
  3. Step 3: Cross multiply
    11,649,060x = 18,234,119 × 18,234,119
  4. Step 4: Simplify right side
    11,649,060x = 332,483,095,706,161
  5. Step 5: Solve for x
    x = 332,483,095,706,161/11,649,060
  6. Step 6: Final answer
    x = 28,541,624.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.