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Finding the Third Proportional to 7,668,069 and 16,413,303

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Solution

The third proportional to 7,668,069 and 16,413,303 is: 35,132,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668,069 : 16,413,303 = 16,413,303 : x
  2. Step 2: Convert to fraction form
    7,668,069/16,413,303 = 16,413,303/x
  3. Step 3: Cross multiply
    7,668,069x = 16,413,303 × 16,413,303
  4. Step 4: Simplify right side
    7,668,069x = 269,396,515,369,809
  5. Step 5: Solve for x
    x = 269,396,515,369,809/7,668,069
  6. Step 6: Final answer
    x = 35,132,249.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.