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Finding the Third Proportional to 17,632,103,678 and 38,363,433,244

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Solution

The third proportional to 17,632,103,678 and 38,363,433,244 is: 83,470,074,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632,103,678 : 38,363,433,244 = 38,363,433,244 : x
  2. Step 2: Convert to fraction form
    17,632,103,678/38,363,433,244 = 38,363,433,244/x
  3. Step 3: Cross multiply
    17,632,103,678x = 38,363,433,244 × 38,363,433,244
  4. Step 4: Simplify right side
    17,632,103,678x = 1,471,753,010,266,844,430,336
  5. Step 5: Solve for x
    x = 1,471,753,010,266,844,430,336/17,632,103,678
  6. Step 6: Final answer
    x = 83,470,074,651.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.