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Finding the Third Proportional to 17,536,163 and 38,424,646

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Solution

The third proportional to 17,536,163 and 38,424,646 is: 84,194,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536,163 : 38,424,646 = 38,424,646 : x
  2. Step 2: Convert to fraction form
    17,536,163/38,424,646 = 38,424,646/x
  3. Step 3: Cross multiply
    17,536,163x = 38,424,646 × 38,424,646
  4. Step 4: Simplify right side
    17,536,163x = 1,476,453,420,225,316
  5. Step 5: Solve for x
    x = 1,476,453,420,225,316/17,536,163
  6. Step 6: Final answer
    x = 84,194,781.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.