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Finding the Third Proportional to 7,668,074 and 16,413,314

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Solution

The third proportional to 7,668,074 and 16,413,314 is: 35,132,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668,074 : 16,413,314 = 16,413,314 : x
  2. Step 2: Convert to fraction form
    7,668,074/16,413,314 = 16,413,314/x
  3. Step 3: Cross multiply
    7,668,074x = 16,413,314 × 16,413,314
  4. Step 4: Simplify right side
    7,668,074x = 269,396,876,462,596
  5. Step 5: Solve for x
    x = 269,396,876,462,596/7,668,074
  6. Step 6: Final answer
    x = 35,132,273.95

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