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Finding the Third Proportional to 8,078,931 and 17,531,199

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Solution

The third proportional to 8,078,931 and 17,531,199 is: 38,042,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,931 : 17,531,199 = 17,531,199 : x
  2. Step 2: Convert to fraction form
    8,078,931/17,531,199 = 17,531,199/x
  3. Step 3: Cross multiply
    8,078,931x = 17,531,199 × 17,531,199
  4. Step 4: Simplify right side
    8,078,931x = 307,342,938,377,601
  5. Step 5: Solve for x
    x = 307,342,938,377,601/8,078,931
  6. Step 6: Final answer
    x = 38,042,525.47

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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.