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Finding the Third Proportional to 6,473,524.50 and 14,166,148.50

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Solution

The third proportional to 6,473,524.50 and 14,166,148.50 is: 31,000,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,524.50 : 14,166,148.50 = 14,166,148.50 : x
  2. Step 2: Convert to fraction form
    6,473,524.50/14,166,148.50 = 14,166,148.50/x
  3. Step 3: Cross multiply
    6,473,524.50x = 14,166,148.50 × 14,166,148.50
  4. Step 4: Simplify right side
    6,473,524.50x = 200,679,763,324,052.25
  5. Step 5: Solve for x
    x = 200,679,763,324,052.25/6,473,524.50
  6. Step 6: Final answer
    x = 31,000,077.83

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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.