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Finding the Third Proportional to 3,219,632 and 6,823,008

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Solution

The third proportional to 3,219,632 and 6,823,008 is: 14,459,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,632 : 6,823,008 = 6,823,008 : x
  2. Step 2: Convert to fraction form
    3,219,632/6,823,008 = 6,823,008/x
  3. Step 3: Cross multiply
    3,219,632x = 6,823,008 × 6,823,008
  4. Step 4: Simplify right side
    3,219,632x = 46,553,438,168,064
  5. Step 5: Solve for x
    x = 46,553,438,168,064/3,219,632
  6. Step 6: Final answer
    x = 14,459,241.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.