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Finding the Third Proportional to 6,837,608,169 and 14,816,437,326

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Solution

The third proportional to 6,837,608,169 and 14,816,437,326 is: 32,105,790,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,608,169 : 14,816,437,326 = 14,816,437,326 : x
  2. Step 2: Convert to fraction form
    6,837,608,169/14,816,437,326 = 14,816,437,326/x
  3. Step 3: Cross multiply
    6,837,608,169x = 14,816,437,326 × 14,816,437,326
  4. Step 4: Simplify right side
    6,837,608,169x = 219,526,815,035,286,028,288
  5. Step 5: Solve for x
    x = 219,526,815,035,286,028,288/6,837,608,169
  6. Step 6: Final answer
    x = 32,105,790,447.39

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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.