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Finding the Third Proportional to 3,679,416 and 8,042,832

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Solution

The third proportional to 3,679,416 and 8,042,832 is: 17,580,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,416 : 8,042,832 = 8,042,832 : x
  2. Step 2: Convert to fraction form
    3,679,416/8,042,832 = 8,042,832/x
  3. Step 3: Cross multiply
    3,679,416x = 8,042,832 × 8,042,832
  4. Step 4: Simplify right side
    3,679,416x = 64,687,146,580,224
  5. Step 5: Solve for x
    x = 64,687,146,580,224/3,679,416
  6. Step 6: Final answer
    x = 17,580,818.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.