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Finding the Third Proportional to 9,917,835.75 and 15,026,451.75

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Solution

The third proportional to 9,917,835.75 and 15,026,451.75 is: 22,766,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917,835.75 : 15,026,451.75 = 15,026,451.75 : x
  2. Step 2: Convert to fraction form
    9,917,835.75/15,026,451.75 = 15,026,451.75/x
  3. Step 3: Cross multiply
    9,917,835.75x = 15,026,451.75 × 15,026,451.75
  4. Step 4: Simplify right side
    9,917,835.75x = 225,794,252,195,078.06
  5. Step 5: Solve for x
    x = 225,794,252,195,078.06/9,917,835.75
  6. Step 6: Final answer
    x = 22,766,484.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.