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Finding the Third Proportional to 6,380,094.38 and 14,000,214.38

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Solution

The third proportional to 6,380,094.38 and 14,000,214.38 is: 30,721,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,094.38 : 14,000,214.38 = 14,000,214.38 : x
  2. Step 2: Convert to fraction form
    6,380,094.38/14,000,214.38 = 14,000,214.38/x
  3. Step 3: Cross multiply
    6,380,094.38x = 14,000,214.38 × 14,000,214.38
  4. Step 4: Simplify right side
    6,380,094.38x = 196,006,002,545,956.62
  5. Step 5: Solve for x
    x = 196,006,002,545,956.62/6,380,094.38
  6. Step 6: Final answer
    x = 30,721,489.53

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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.