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Finding the Third Proportional to 9,409,665 and 14,384,949.75

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Solution

The third proportional to 9,409,665 and 14,384,949.75 is: 21,990,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409,665 : 14,384,949.75 = 14,384,949.75 : x
  2. Step 2: Convert to fraction form
    9,409,665/14,384,949.75 = 14,384,949.75/x
  3. Step 3: Cross multiply
    9,409,665x = 14,384,949.75 × 14,384,949.75
  4. Step 4: Simplify right side
    9,409,665x = 206,926,779,310,025.06
  5. Step 5: Solve for x
    x = 206,926,779,310,025.06/9,409,665
  6. Step 6: Final answer
    x = 21,990,876.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.