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Finding the Third Proportional to 7,826,844 and 17,043,184

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Solution

The third proportional to 7,826,844 and 17,043,184 is: 37,112,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826,844 : 17,043,184 = 17,043,184 : x
  2. Step 2: Convert to fraction form
    7,826,844/17,043,184 = 17,043,184/x
  3. Step 3: Cross multiply
    7,826,844x = 17,043,184 × 17,043,184
  4. Step 4: Simplify right side
    7,826,844x = 290,470,120,857,856
  5. Step 5: Solve for x
    x = 290,470,120,857,856/7,826,844
  6. Step 6: Final answer
    x = 37,112,036.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.