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Finding the Third Proportional to 6,343,632 and 10,214,192

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Solution

The third proportional to 6,343,632 and 10,214,192 is: 16,446,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,632 : 10,214,192 = 10,214,192 : x
  2. Step 2: Convert to fraction form
    6,343,632/10,214,192 = 10,214,192/x
  3. Step 3: Cross multiply
    6,343,632x = 10,214,192 × 10,214,192
  4. Step 4: Simplify right side
    6,343,632x = 104,329,718,212,864
  5. Step 5: Solve for x
    x = 104,329,718,212,864/6,343,632
  6. Step 6: Final answer
    x = 16,446,369.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.