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Finding the Third Proportional to 6,841,270 and 14,873,329

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Solution

The third proportional to 6,841,270 and 14,873,329 is: 32,335,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,270 : 14,873,329 = 14,873,329 : x
  2. Step 2: Convert to fraction form
    6,841,270/14,873,329 = 14,873,329/x
  3. Step 3: Cross multiply
    6,841,270x = 14,873,329 × 14,873,329
  4. Step 4: Simplify right side
    6,841,270x = 221,215,915,542,241
  5. Step 5: Solve for x
    x = 221,215,915,542,241/6,841,270
  6. Step 6: Final answer
    x = 32,335,504.31

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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.