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Finding the Third Proportional to 10,422,054.56 and 22,638,219.75

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Solution

The third proportional to 10,422,054.56 and 22,638,219.75 is: 49,173,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,054.56 : 22,638,219.75 = 22,638,219.75 : x
  2. Step 2: Convert to fraction form
    10,422,054.56/22,638,219.75 = 22,638,219.75/x
  3. Step 3: Cross multiply
    10,422,054.56x = 22,638,219.75 × 22,638,219.75
  4. Step 4: Simplify right side
    10,422,054.56x = 512,488,993,449,290.06
  5. Step 5: Solve for x
    x = 512,488,993,449,290.06/10,422,054.56
  6. Step 6: Final answer
    x = 49,173,508.96

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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.