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Finding the Third Proportional to 11,649,308 and 18,234,514

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Solution

The third proportional to 11,649,308 and 18,234,514 is: 28,542,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,308 : 18,234,514 = 18,234,514 : x
  2. Step 2: Convert to fraction form
    11,649,308/18,234,514 = 18,234,514/x
  3. Step 3: Cross multiply
    11,649,308x = 18,234,514 × 18,234,514
  4. Step 4: Simplify right side
    11,649,308x = 332,497,500,816,196
  5. Step 5: Solve for x
    x = 332,497,500,816,196/11,649,308
  6. Step 6: Final answer
    x = 28,542,253.40

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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.