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Finding the Third Proportional to 10,422,051.75 and 22,638,216.75

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Solution

The third proportional to 10,422,051.75 and 22,638,216.75 is: 49,173,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,051.75 : 22,638,216.75 = 22,638,216.75 : x
  2. Step 2: Convert to fraction form
    10,422,051.75/22,638,216.75 = 22,638,216.75/x
  3. Step 3: Cross multiply
    10,422,051.75x = 22,638,216.75 × 22,638,216.75
  4. Step 4: Simplify right side
    10,422,051.75x = 512,488,857,619,980.56
  5. Step 5: Solve for x
    x = 512,488,857,619,980.56/10,422,051.75
  6. Step 6: Final answer
    x = 49,173,509.20

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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.