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Finding the Third Proportional to 3,614,215 and 7,858,287

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Solution

The third proportional to 3,614,215 and 7,858,287 is: 17,086,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614,215 : 7,858,287 = 7,858,287 : x
  2. Step 2: Convert to fraction form
    3,614,215/7,858,287 = 7,858,287/x
  3. Step 3: Cross multiply
    3,614,215x = 7,858,287 × 7,858,287
  4. Step 4: Simplify right side
    3,614,215x = 61,752,674,574,369
  5. Step 5: Solve for x
    x = 61,752,674,574,369/3,614,215
  6. Step 6: Final answer
    x = 17,086,054.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.