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Finding the Third Proportional to 4,694,014 and 10,061,713

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Solution

The third proportional to 4,694,014 and 10,061,713 is: 21,567,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694,014 : 10,061,713 = 10,061,713 : x
  2. Step 2: Convert to fraction form
    4,694,014/10,061,713 = 10,061,713/x
  3. Step 3: Cross multiply
    4,694,014x = 10,061,713 × 10,061,713
  4. Step 4: Simplify right side
    4,694,014x = 101,238,068,494,369
  5. Step 5: Solve for x
    x = 101,238,068,494,369/4,694,014
  6. Step 6: Final answer
    x = 21,567,483.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.