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Finding the Third Proportional to 10,321,176 and 16,397,085

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Solution

The third proportional to 10,321,176 and 16,397,085 is: 26,049,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321,176 : 16,397,085 = 16,397,085 : x
  2. Step 2: Convert to fraction form
    10,321,176/16,397,085 = 16,397,085/x
  3. Step 3: Cross multiply
    10,321,176x = 16,397,085 × 16,397,085
  4. Step 4: Simplify right side
    10,321,176x = 268,864,396,497,225
  5. Step 5: Solve for x
    x = 268,864,396,497,225/10,321,176
  6. Step 6: Final answer
    x = 26,049,783.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.