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Finding the Third Proportional to 3,728,846,946.75 and 8,078,338,861.50

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Solution

The third proportional to 3,728,846,946.75 and 8,078,338,861.50 is: 17,501,270,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728,846,946.75 : 8,078,338,861.50 = 8,078,338,861.50 : x
  2. Step 2: Convert to fraction form
    3,728,846,946.75/8,078,338,861.50 = 8,078,338,861.50/x
  3. Step 3: Cross multiply
    3,728,846,946.75x = 8,078,338,861.50 × 8,078,338,861.50
  4. Step 4: Simplify right side
    3,728,846,946.75x = 65,259,558,761,221,120,000
  5. Step 5: Solve for x
    x = 65,259,558,761,221,120,000/3,728,846,946.75
  6. Step 6: Final answer
    x = 17,501,270,417.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.