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Finding the Third Proportional to 10,217,936 and 17,029,208

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Solution

The third proportional to 10,217,936 and 17,029,208 is: 28,380,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217,936 : 17,029,208 = 17,029,208 : x
  2. Step 2: Convert to fraction form
    10,217,936/17,029,208 = 17,029,208/x
  3. Step 3: Cross multiply
    10,217,936x = 17,029,208 × 17,029,208
  4. Step 4: Simplify right side
    10,217,936x = 289,993,925,107,264
  5. Step 5: Solve for x
    x = 289,993,925,107,264/10,217,936
  6. Step 6: Final answer
    x = 28,380,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.