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Finding the Third Proportional to 6,416,426.25 and 14,267,462.63

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Solution

The third proportional to 6,416,426.25 and 14,267,462.63 is: 31,724,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,426.25 : 14,267,462.63 = 14,267,462.63 : x
  2. Step 2: Convert to fraction form
    6,416,426.25/14,267,462.63 = 14,267,462.63/x
  3. Step 3: Cross multiply
    6,416,426.25x = 14,267,462.63 × 14,267,462.63
  4. Step 4: Simplify right side
    6,416,426.25x = 203,560,489,755,771.88
  5. Step 5: Solve for x
    x = 203,560,489,755,771.88/6,416,426.25
  6. Step 6: Final answer
    x = 31,724,901.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.