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Finding the Third Proportional to 6,290,214 and 13,758,126

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Solution

The third proportional to 6,290,214 and 13,758,126 is: 30,092,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,214 : 13,758,126 = 13,758,126 : x
  2. Step 2: Convert to fraction form
    6,290,214/13,758,126 = 13,758,126/x
  3. Step 3: Cross multiply
    6,290,214x = 13,758,126 × 13,758,126
  4. Step 4: Simplify right side
    6,290,214x = 189,286,031,031,876
  5. Step 5: Solve for x
    x = 189,286,031,031,876/6,290,214
  6. Step 6: Final answer
    x = 30,092,144.88

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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.