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Finding the Third Proportional to 4,486,174 and 6,727,614

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Solution

The third proportional to 4,486,174 and 6,727,614 is: 10,088,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,174 : 6,727,614 = 6,727,614 : x
  2. Step 2: Convert to fraction form
    4,486,174/6,727,614 = 6,727,614/x
  3. Step 3: Cross multiply
    4,486,174x = 6,727,614 × 6,727,614
  4. Step 4: Simplify right side
    4,486,174x = 45,260,790,132,996
  5. Step 5: Solve for x
    x = 45,260,790,132,996/4,486,174
  6. Step 6: Final answer
    x = 10,088,951.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.