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Finding the Third Proportional to 7,679,718 and 16,452,423

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Solution

The third proportional to 7,679,718 and 16,452,423 is: 35,246,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679,718 : 16,452,423 = 16,452,423 : x
  2. Step 2: Convert to fraction form
    7,679,718/16,452,423 = 16,452,423/x
  3. Step 3: Cross multiply
    7,679,718x = 16,452,423 × 16,452,423
  4. Step 4: Simplify right side
    7,679,718x = 270,682,222,570,929
  5. Step 5: Solve for x
    x = 270,682,222,570,929/7,679,718
  6. Step 6: Final answer
    x = 35,246,375.27

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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.