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Finding the Third Proportional to 3,157,633.50 and 6,820,374

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Solution

The third proportional to 3,157,633.50 and 6,820,374 is: 14,731,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,633.50 : 6,820,374 = 6,820,374 : x
  2. Step 2: Convert to fraction form
    3,157,633.50/6,820,374 = 6,820,374/x
  3. Step 3: Cross multiply
    3,157,633.50x = 6,820,374 × 6,820,374
  4. Step 4: Simplify right side
    3,157,633.50x = 46,517,501,499,876
  5. Step 5: Solve for x
    x = 46,517,501,499,876/3,157,633.50
  6. Step 6: Final answer
    x = 14,731,760.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.