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Finding the Third Proportional to 5,671,614 and 8,717,670

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Solution

The third proportional to 5,671,614 and 8,717,670 is: 13,399,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,614 : 8,717,670 = 8,717,670 : x
  2. Step 2: Convert to fraction form
    5,671,614/8,717,670 = 8,717,670/x
  3. Step 3: Cross multiply
    5,671,614x = 8,717,670 × 8,717,670
  4. Step 4: Simplify right side
    5,671,614x = 75,997,770,228,900
  5. Step 5: Solve for x
    x = 75,997,770,228,900/5,671,614
  6. Step 6: Final answer
    x = 13,399,672.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.