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Finding the Third Proportional to 11,038,684 and 16,450,341

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Solution

The third proportional to 11,038,684 and 16,450,341 is: 24,515,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038,684 : 16,450,341 = 16,450,341 : x
  2. Step 2: Convert to fraction form
    11,038,684/16,450,341 = 16,450,341/x
  3. Step 3: Cross multiply
    11,038,684x = 16,450,341 × 16,450,341
  4. Step 4: Simplify right side
    11,038,684x = 270,613,719,016,281
  5. Step 5: Solve for x
    x = 270,613,719,016,281/11,038,684
  6. Step 6: Final answer
    x = 24,515,034.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.