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Finding the Third Proportional to 7,597,505,841.75 and 16,740,700,177.50

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Solution

The third proportional to 7,597,505,841.75 and 16,740,700,177.50 is: 36,887,242,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597,505,841.75 : 16,740,700,177.50 = 16,740,700,177.50 : x
  2. Step 2: Convert to fraction form
    7,597,505,841.75/16,740,700,177.50 = 16,740,700,177.50/x
  3. Step 3: Cross multiply
    7,597,505,841.75x = 16,740,700,177.50 × 16,740,700,177.50
  4. Step 4: Simplify right side
    7,597,505,841.75x = 280,251,042,432,948,535,296
  5. Step 5: Solve for x
    x = 280,251,042,432,948,535,296/7,597,505,841.75
  6. Step 6: Final answer
    x = 36,887,242,770.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.