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Finding the Third Proportional to 9,409,660 and 14,384,942

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Solution

The third proportional to 9,409,660 and 14,384,942 is: 21,990,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409,660 : 14,384,942 = 14,384,942 : x
  2. Step 2: Convert to fraction form
    9,409,660/14,384,942 = 14,384,942/x
  3. Step 3: Cross multiply
    9,409,660x = 14,384,942 × 14,384,942
  4. Step 4: Simplify right side
    9,409,660x = 206,926,556,343,364
  5. Step 5: Solve for x
    x = 206,926,556,343,364/9,409,660
  6. Step 6: Final answer
    x = 21,990,864.32

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