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Finding the Third Proportional to 9,550,092 and 14,809,266

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Solution

The third proportional to 9,550,092 and 14,809,266 is: 22,964,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550,092 : 14,809,266 = 14,809,266 : x
  2. Step 2: Convert to fraction form
    9,550,092/14,809,266 = 14,809,266/x
  3. Step 3: Cross multiply
    9,550,092x = 14,809,266 × 14,809,266
  4. Step 4: Simplify right side
    9,550,092x = 219,314,359,458,756
  5. Step 5: Solve for x
    x = 219,314,359,458,756/9,550,092
  6. Step 6: Final answer
    x = 22,964,633.16

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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.