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Finding the Third Proportional to 3,465,770 and 7,728,433

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Solution

The third proportional to 3,465,770 and 7,728,433 is: 17,233,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465,770 : 7,728,433 = 7,728,433 : x
  2. Step 2: Convert to fraction form
    3,465,770/7,728,433 = 7,728,433/x
  3. Step 3: Cross multiply
    3,465,770x = 7,728,433 × 7,728,433
  4. Step 4: Simplify right side
    3,465,770x = 59,728,676,635,489
  5. Step 5: Solve for x
    x = 59,728,676,635,489/3,465,770
  6. Step 6: Final answer
    x = 17,233,883.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.