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Finding the Third Proportional to 1,699,548,697.69 and 3,657,377,789.72

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Solution

The third proportional to 1,699,548,697.69 and 3,657,377,789.72 is: 7,870,567,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,548,697.69 : 3,657,377,789.72 = 3,657,377,789.72 : x
  2. Step 2: Convert to fraction form
    1,699,548,697.69/3,657,377,789.72 = 3,657,377,789.72/x
  3. Step 3: Cross multiply
    1,699,548,697.69x = 3,657,377,789.72 × 3,657,377,789.72
  4. Step 4: Simplify right side
    1,699,548,697.69x = 13,376,412,296,728,375,296
  5. Step 5: Solve for x
    x = 13,376,412,296,728,375,296/1,699,548,697.69
  6. Step 6: Final answer
    x = 7,870,567,236.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.