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Finding the Third Proportional to 9,629,882,326 and 19,530,535,016

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Solution

The third proportional to 9,629,882,326 and 19,530,535,016 is: 39,610,224,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,882,326 : 19,530,535,016 = 19,530,535,016 : x
  2. Step 2: Convert to fraction form
    9,629,882,326/19,530,535,016 = 19,530,535,016/x
  3. Step 3: Cross multiply
    9,629,882,326x = 19,530,535,016 × 19,530,535,016
  4. Step 4: Simplify right side
    9,629,882,326x = 381,441,798,011,202,109,440
  5. Step 5: Solve for x
    x = 381,441,798,011,202,109,440/9,629,882,326
  6. Step 6: Final answer
    x = 39,610,224,206.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.