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Finding the Third Proportional to 5,256,460 and 11,405,218

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Solution

The third proportional to 5,256,460 and 11,405,218 is: 24,746,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,460 : 11,405,218 = 11,405,218 : x
  2. Step 2: Convert to fraction form
    5,256,460/11,405,218 = 11,405,218/x
  3. Step 3: Cross multiply
    5,256,460x = 11,405,218 × 11,405,218
  4. Step 4: Simplify right side
    5,256,460x = 130,078,997,627,524
  5. Step 5: Solve for x
    x = 130,078,997,627,524/5,256,460
  6. Step 6: Final answer
    x = 24,746,501.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.