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Finding the Third Proportional to 3,258,215 and 7,021,016

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Solution

The third proportional to 3,258,215 and 7,021,016 is: 15,129,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258,215 : 7,021,016 = 7,021,016 : x
  2. Step 2: Convert to fraction form
    3,258,215/7,021,016 = 7,021,016/x
  3. Step 3: Cross multiply
    3,258,215x = 7,021,016 × 7,021,016
  4. Step 4: Simplify right side
    3,258,215x = 49,294,665,672,256
  5. Step 5: Solve for x
    x = 49,294,665,672,256/3,258,215
  6. Step 6: Final answer
    x = 15,129,347.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.