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Finding the Third Proportional to 4,864,203 and 11,259,445.50

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Solution

The third proportional to 4,864,203 and 11,259,445.50 is: 26,062,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864,203 : 11,259,445.50 = 11,259,445.50 : x
  2. Step 2: Convert to fraction form
    4,864,203/11,259,445.50 = 11,259,445.50/x
  3. Step 3: Cross multiply
    4,864,203x = 11,259,445.50 × 11,259,445.50
  4. Step 4: Simplify right side
    4,864,203x = 126,775,112,967,470.25
  5. Step 5: Solve for x
    x = 126,775,112,967,470.25/4,864,203
  6. Step 6: Final answer
    x = 26,062,874.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.