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Finding the Third Proportional to 10,462,203.75 and 22,168,992

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Solution

The third proportional to 10,462,203.75 and 22,168,992 is: 46,975,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462,203.75 : 22,168,992 = 22,168,992 : x
  2. Step 2: Convert to fraction form
    10,462,203.75/22,168,992 = 22,168,992/x
  3. Step 3: Cross multiply
    10,462,203.75x = 22,168,992 × 22,168,992
  4. Step 4: Simplify right side
    10,462,203.75x = 491,464,206,296,064
  5. Step 5: Solve for x
    x = 491,464,206,296,064/10,462,203.75
  6. Step 6: Final answer
    x = 46,975,208.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.