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Finding the Third Proportional to 7,289,742 and 16,875,867

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Solution

The third proportional to 7,289,742 and 16,875,867 is: 39,067,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289,742 : 16,875,867 = 16,875,867 : x
  2. Step 2: Convert to fraction form
    7,289,742/16,875,867 = 16,875,867/x
  3. Step 3: Cross multiply
    7,289,742x = 16,875,867 × 16,875,867
  4. Step 4: Simplify right side
    7,289,742x = 284,794,887,001,689
  5. Step 5: Solve for x
    x = 284,794,887,001,689/7,289,742
  6. Step 6: Final answer
    x = 39,067,896.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.