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Finding the Third Proportional to 5,256,458 and 11,405,214

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Solution

The third proportional to 5,256,458 and 11,405,214 is: 24,746,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,458 : 11,405,214 = 11,405,214 : x
  2. Step 2: Convert to fraction form
    5,256,458/11,405,214 = 11,405,214/x
  3. Step 3: Cross multiply
    5,256,458x = 11,405,214 × 11,405,214
  4. Step 4: Simplify right side
    5,256,458x = 130,078,906,385,796
  5. Step 5: Solve for x
    x = 130,078,906,385,796/5,256,458
  6. Step 6: Final answer
    x = 24,746,494.01

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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.