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Finding the Third Proportional to 10,217,940 and 17,029,214

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Solution

The third proportional to 10,217,940 and 17,029,214 is: 28,380,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217,940 : 17,029,214 = 17,029,214 : x
  2. Step 2: Convert to fraction form
    10,217,940/17,029,214 = 17,029,214/x
  3. Step 3: Cross multiply
    10,217,940x = 17,029,214 × 17,029,214
  4. Step 4: Simplify right side
    10,217,940x = 289,994,129,457,796
  5. Step 5: Solve for x
    x = 289,994,129,457,796/10,217,940
  6. Step 6: Final answer
    x = 28,380,880.05

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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.