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Finding the Third Proportional to 9,550,086 and 14,809,257

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Solution

The third proportional to 9,550,086 and 14,809,257 is: 22,964,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550,086 : 14,809,257 = 14,809,257 : x
  2. Step 2: Convert to fraction form
    9,550,086/14,809,257 = 14,809,257/x
  3. Step 3: Cross multiply
    9,550,086x = 14,809,257 × 14,809,257
  4. Step 4: Simplify right side
    9,550,086x = 219,314,092,892,049
  5. Step 5: Solve for x
    x = 219,314,092,892,049/9,550,086
  6. Step 6: Final answer
    x = 22,964,619.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.