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Finding the Third Proportional to 19,539,574 and 41,768,198

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Solution

The third proportional to 19,539,574 and 41,768,198 is: 89,284,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539,574 : 41,768,198 = 41,768,198 : x
  2. Step 2: Convert to fraction form
    19,539,574/41,768,198 = 41,768,198/x
  3. Step 3: Cross multiply
    19,539,574x = 41,768,198 × 41,768,198
  4. Step 4: Simplify right side
    19,539,574x = 1,744,582,364,167,204
  5. Step 5: Solve for x
    x = 1,744,582,364,167,204/19,539,574
  6. Step 6: Final answer
    x = 89,284,564.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.