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Finding the Third Proportional to 7,530,682 and 16,498,952

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Solution

The third proportional to 7,530,682 and 16,498,952 is: 36,147,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530,682 : 16,498,952 = 16,498,952 : x
  2. Step 2: Convert to fraction form
    7,530,682/16,498,952 = 16,498,952/x
  3. Step 3: Cross multiply
    7,530,682x = 16,498,952 × 16,498,952
  4. Step 4: Simplify right side
    7,530,682x = 272,215,417,098,304
  5. Step 5: Solve for x
    x = 272,215,417,098,304/7,530,682
  6. Step 6: Final answer
    x = 36,147,511.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.