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Finding the Third Proportional to 3,201,951 and 7,001,193

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Solution

The third proportional to 3,201,951 and 7,001,193 is: 15,308,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,951 : 7,001,193 = 7,001,193 : x
  2. Step 2: Convert to fraction form
    3,201,951/7,001,193 = 7,001,193/x
  3. Step 3: Cross multiply
    3,201,951x = 7,001,193 × 7,001,193
  4. Step 4: Simplify right side
    3,201,951x = 49,016,703,423,249
  5. Step 5: Solve for x
    x = 49,016,703,423,249/3,201,951
  6. Step 6: Final answer
    x = 15,308,386.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.